{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## **Viscoelastic wave equation implementation on a staggered grid**\n",
    "\n",
    "This is a first attempt at implementing the viscoelastic wave equation as described in [1]. See also the FDELMODC implementation by Jan Thorbecke [2]. \n",
    "\n",
    "In the following example, a three dimensional toy problem will be introduced consisting of a single Ricker source located at (100, 50, 35) in a 200 m $\\times$ 100 m $\\times$ 100 *m* domain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Required imports:\n",
    "import numpy as np\n",
    "import sympy as sp\n",
    "\n",
    "from devito import *\n",
    "from examples.seismic.source import RickerSource, TimeAxis\n",
    "from examples.seismic import ModelViscoelastic, plot_image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The model domain is now constructed. It consists of an upper layer of water, 50 m in depth, and a lower rock layer separated by a 4 m thick sediment layer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Domain size:\n",
    "extent = (200., 100., 100.) # 200 x 100 x 100 m domain\n",
    "h = 1.0 # Desired grid spacing\n",
    "shape = (int(extent[0]/h+1), int(extent[1]/h+1), int(extent[2]/h+1))\n",
    "\n",
    "# Model physical parameters:\n",
    "vp = np.zeros(shape)\n",
    "qp = np.zeros(shape)\n",
    "vs = np.zeros(shape)\n",
    "qs = np.zeros(shape)\n",
    "rho = np.zeros(shape)\n",
    "\n",
    "# Set up three horizontally separated layers:\n",
    "vp[:,:,:int(0.5*shape[2])+1] = 1.52\n",
    "qp[:,:,:int(0.5*shape[2])+1] = 10000.\n",
    "vs[:,:,:int(0.5*shape[2])+1] = 0.\n",
    "qs[:,:,:int(0.5*shape[2])+1] = 0.\n",
    "rho[:,:,:int(0.5*shape[2])+1] = 1.05\n",
    "\n",
    "vp[:,:,int(0.5*shape[2])+1:int(0.5*shape[2])+1+int(4/h)] = 1.6\n",
    "qp[:,:,int(0.5*shape[2])+1:int(0.5*shape[2])+1+int(4/h)] = 40.\n",
    "vs[:,:,int(0.5*shape[2])+1:int(0.5*shape[2])+1+int(4/h)] = 0.4\n",
    "qs[:,:,int(0.5*shape[2])+1:int(0.5*shape[2])+1+int(4/h)] = 30.\n",
    "rho[:,:,int(0.5*shape[2])+1:int(0.5*shape[2])+1+int(4/h)] = 1.3\n",
    "\n",
    "vp[:,:,int(0.5*shape[2])+1+int(4/h):] = 2.2\n",
    "qp[:,:,int(0.5*shape[2])+1+int(4/h):] = 100.\n",
    "vs[:,:,int(0.5*shape[2])+1+int(4/h):] = 1.2\n",
    "qs[:,:,int(0.5*shape[2])+1+int(4/h):] = 70.\n",
    "rho[:,:,int(0.5*shape[2])+1+int(4/h):] = 2."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now create a Devito vsicoelastic model generating an appropriate computational grid along with absorbing boundary layers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Operator `initdamp` run in 0.05 s\n",
      "Operator `padfunc` run in 0.02 s\n",
      "Operator `padfunc` run in 0.01 s\n",
      "Operator `padfunc` run in 0.01 s\n",
      "Operator `padfunc` run in 0.01 s\n",
      "Operator `padfunc` run in 0.02 s\n"
     ]
    }
   ],
   "source": [
    "# Create model\n",
    "origin = (0, 0, 0)\n",
    "spacing = (h, h, h)\n",
    "so = 4 # FD space order (Note that the time order is by default 1).\n",
    "nbl = 20 # Number of absorbing boundary layers cells\n",
    "model = ModelViscoelastic(space_order=so, vp=vp, qp=qp, vs=vs, qs=qs,\n",
    "                          rho=rho, origin=origin, shape=shape, spacing=spacing,\n",
    "                          nbl=nbl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The source frequency is now set along with the required model parameters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Source freq. in MHz (note that the source is defined below):\n",
    "f0 = 0.12\n",
    "\n",
    "# Thorbecke's parameter notation\n",
    "l = model.lam\n",
    "mu = model.mu\n",
    "ro = model.irho\n",
    "\n",
    "k = 1.0/(l + 2*mu)\n",
    "pi = l + 2*mu\n",
    "\n",
    "t_s = (sp.sqrt(1.+1./model.qp**2)-1./model.qp)/f0\n",
    "t_ep = 1./(f0**2*t_s)\n",
    "t_es = (1.+f0*model.qs*t_s)/(f0*model.qs-f0**2*t_s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Time step in ms and time range:\n",
    "t0, tn = 0., 30.\n",
    "dt = model.critical_dt\n",
    "time_range = TimeAxis(start=t0, stop=tn, step=dt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate Devito time functions for the velocity, stress and memory variables appearing in the viscoelastic model equations. By default, the initial data of each field will be set to zero."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# PDE fn's:\n",
    "x, y, z = model.grid.dimensions\n",
    "damp = model.damp\n",
    "\n",
    "# Staggered grid setup:\n",
    "\n",
    "# Velocity:\n",
    "v = VectorTimeFunction(name=\"v\", grid=model.grid, time_order=1, space_order=so)\n",
    "\n",
    "# Stress:\n",
    "tau = TensorTimeFunction(name='t', grid=model.grid, space_order=so, time_order=1)\n",
    "\n",
    "# Memory variable:\n",
    "r = TensorTimeFunction(name='r', grid=model.grid, space_order=so, time_order=1)\n",
    "\n",
    "s = model.grid.stepping_dim.spacing # Symbolic representation of the model grid spacing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And now the source and PDE's are constructed:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Source\n",
    "src = RickerSource(name='src', grid=model.grid, f0=f0, time_range=time_range)\n",
    "src.coordinates.data[:] = np.array([100., 50., 35.])\n",
    "\n",
    "# The source injection term\n",
    "src_xx = src.inject(field=tau[0, 0].forward, expr=src*s)\n",
    "src_yy = src.inject(field=tau[1, 1].forward, expr=src*s)\n",
    "src_zz = src.inject(field=tau[2, 2].forward, expr=src*s)\n",
    "\n",
    "# Particle velocity\n",
    "u_v = Eq(v.forward, model.damp * (v + s*ro*div(tau)))\n",
    "\n",
    "# Stress equations:\n",
    "u_t = Eq(tau.forward,  model.damp *  (s*r.forward + tau +\n",
    "                                      s * (l * t_ep / t_s * diag(div(v.forward)) +\n",
    "                                           mu * t_es / t_s * (grad(v.forward) + grad(v.forward).T))))\n",
    "\n",
    "# Memory variable equations:\n",
    "u_r = Eq(r.forward, damp * (r - s / t_s * (r + l * (t_ep/t_s-1) * diag(div(v.forward)) +\n",
    "                                           mu * (t_es/t_s-1) * (grad(v.forward) + grad(v.forward).T) )))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now create and then run the operator:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create the operator:\n",
    "op = Operator([u_v, u_r, u_t] + src_xx + src_yy + src_zz,\n",
    "               subs=model.spacing_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Operator `Kernel` run in 62.86 s\n"
     ]
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "\n",
    "# Execute the operator:\n",
    "op(dt=dt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before plotting some results, let us first look at the shape of the data stored in one of our time functions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 241, 141, 141)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v[0].data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since our functions are first order in time, the time dimension is of length 2. The spatial extent of the data includes the absorbing boundary layers in each dimension (i.e. each spatial dimension is padded by 20 grid points to the left and to the right).\n",
    "\n",
    "The total number of instances in time considered is obtained from:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "136"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_range.num"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hence 223 time steps were executed. Thus the final time step will be stored in index given by:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mod(time_range.num,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let us plot some 2D slices of the fields `vx` and `szz` at the final time step:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SHb5mXtw1UY1sVSTrNVkJpXpQS+sYpcpyfWXDdt65qPtECrv1if33jycuObSoe2HouwG47rp9AJg2LZaPPPIyJerEoGrsh01dVO1Pnx7V9g88MLaoOfroWE6cGMsJE8oejxpZq5fu07PUQfccFFXcW9UJA+Wq602PR+pqTXxBdhzHaUN8D7n18AXZ6ZIq1yaVjFUqhtJ+qcqlSQN8PJmCeahwCnD99bGcOVMlPivdqcSn3/NHmbr9ADjuuGhAdfrpZc37+j4eD668MpaH3AbA8mefLdqoY5H21karzrF/1HpWnMtRqXl1xbmCeaXtYu903OfnPwdg0OTJRd2Id7wDgK8ceWQsrzwJgN8u27toc+GF0VLr2mvVlWomJWoEFlURS5f+sai56qq/AmDWrKhROOaY8qpDD41PuOeeceysxkOP1TWqHu4StelwK+vWxMfMcRzHcTYDXEJ2OlHPtUklY+vVk0vGr68upaeH0j6x7g9Pm1a2W7LksXSk+8XWl0aDd0SfpOOOK4NhqBC599xb4sFZFxV1K5MI/ufsjlZKzYNi2uCYmnupx9Ch8cA+qPpz6YuxKgQVAVUstOmTkrvUmpSmygbxXJaVs01djyTV973gAgCGpfJ9h5b7zO877TQAHp98FADnnntQUXfttRpYROPz2AAqsX8zZ8Z95dmz9ylq/vSnWOo+8/jx5Xj266kZpBqXlMH3lTcFLm21Hr4gO47jtCG+ILceviA7juO0Gb6H3Jr4guwUNOLaVM+Aa/GKqL68//7y3DXXxPLqqzWq1W/MFRpxS5XI7y5q9torqlCnTIk/H9Hxy/Ky088FYNk99wClehpKNyXVtmtMrB1s4GlNiTR+fCz32KOse+c7Y6nRtVR1TRlzW6NUWfWrvrsiZvcyo5hOquoeKepX/9//vqjq/9RT8eChlC5cU1kBL6dIYKr81oRXHcYyblg63vuDHwTgf41R2O0nHQzA17/+EQCeeOIxStRdKhrSLVlSupX9+79HF6xFi3rVPC/AAQfEMR7YUau6hu4Zernq2nE64wuy4zhOG+IScuvhC/IWTjNcmxYsjZLRb5Lwqx5HALfeqpLXb1Np5dlBqTwIgC9/uUyWfP5ZScJMPk0rr7iiqJubSnVXsnLZbvosKgUfnsKrawBrKIJY/+HFeOVsY0k1N4mhi5KUb22zNBfwW2/RJVtvHctttulXnOvfPx4PGhR7N3LXg4u60ck+a7fh6b0a9cIOKbD1DsklakWSnu0bnJvK3klbMDKVAEecfHIs778QgK+cVRpuXXDBiHR0bypLtzCILlRXX/0+AJYtK8dFJdv994/vbsh2Nseyu0RtTnikrtbDF2THcZw2wyN1tSa+IG+hqGRsQyDmEvKAUjDqJBnrfjGUkvHll8fyjjtsaEfdM9ZwHLsUNdtt92GglKg/wQ3lZft8FYAXUhJh6yqknzwylb2NG1ARKzMF03j61eg+9YDJzD3rrFhqIiezfVokcmpkr7NqD7mKfG9+W5OaWd/x8OHxqcaM+XBRN+HEeDw2uTZ13BaDnIy67rqijbp5qUPTH8zn9ktahRFJaj7/X/+1qDvggE8AcNJJHwdg6dJfmCs1gMi9ANx66/5FzapVO2A56KByHuT7ygMGlHV/SUm79J3ZRFmKS8rNxVXWrYePmeM4juNsBriE7DiO02a421Nr4gvyFoqqqrfZpjynqmoNSFWTtSmhUbisa5OqnEtV9a/NFaoPHhP/H3NgUXPzzbHc7cp/AmDl979f1KlDlEbYGm7u2H+/GMuaz30ulp/5TFH360ejAdX9qU9PpkROyfMIqHZbUlS9XBWtLK+rQu9p750H8bJuRAsWxFINy9T7CeCuu2K5555R7X7AAZMAeP91JxRtel91FQCjfvxjAF6dWcayVuOvWUntP8oErP7EmWfGez/0PQA+9rFSVT5r1n16lMpyPO+44/0A9OoVVdf2Xaj6WqN52fnTv3+sq3o/aiznKuvm4gty6+ELsuM4TpvhEnJr4gvyFoZKNBonwwb/UMm4T8/kULSiFFk0a5PGptaAH2Bdm9SAy+YujrGS3/veaBikuY8B+n3hUwAsvvpqoNadR82BRqmIeuqpZWUycnpwSXQjuvPCskrjaqhErFKpleT0WJ/XvgP9OC3VjQnKd5bfBzpLd9ZoSd2ktC/W5Uel5bwEmJUE1CTgFtLzveNKl6rDDvs7AN6TDNv6X1TG9e6frOyeTx9oDb6GJW3EbunmDz74k6Ju4sSoxZgxQ/+kP22ujGN8660HAdC3b2n5p+9Rg4f0XlGa4vXpiHOqf/8YBKZKg5Abfjnrhy/IrYePmeM4jrNOiMjOInKdiLwmIq+LyA0iMmLtV4KIdIjID0Rkvoi8KSIzROT9Fe16iMiZIjJXRFaIyGMickwX9zxVRGaJyFsi8oyIfKGLdkeLyCPpfn8UkckispWp30pEzhCRX4rIAhFZKiK/E5G/EZENtm66hLyFkLs5qTRjXXAKSXHZiuxEmc9YszaVoTChDPqhrk1jihqVjFOMC3offURR91IKeKFXDTR3HLbXXvHgjDMAeP3ozxZ1mjFKXZlsYA+VPlXCHTSo06N0koyrJOSqPWSlkT1kS+5CVU9CtoFI8jqVlO1+uD77wxOituDEc/+tqOuXQoOOOu88AP78xBNFnWojVibtxFDzwffeezsABx0Ux27GDJsrS/eV45hffXW59zxoUFQh6Pt91zjzYtND9O0bJWTdN4auXaFcUl53NobKWkT6AL8E3gI+BwTgXOAeEdk7hPBGveuBHwEfAb5GNBv5O+BOEXlvCOFR0+4c4AzgG8RYrycA14rIkSGE201/TgUuBb4P3AV8CLhYRCSE8J+m3WHA9enzvwLsC3wP2A74x9RsG2Ay8N/AD4kJ2Y4ALif+gftag6+pW/iC7DiO04ZsBPXnqcAoYPcQwmwAEXmcGPbt88D5XV0oIvsAnwJOCSFckc79CngKOBs4Kp3bgbgYTwkhnJcuv0dERgNTgNtTu57Ad4GrQgjfMO2GAeeIyNQQgn7lmwLcH0KYZNr1BSaLyAUhhJeAN4FRIYTFptt3i8gA4Esi8q0Qgvla2RxcZe04jtOG9FjPfw1wFPCALsYAIYQ5REODjzVw7Srgp+ba1cA1wGEiotYbhxGzz0zLrp8G7CUiu6af3wsMrmh3FbA9cABEFTswrot2vYDDU1/+ki3Gykxga8q4v03FJeQthNzNSVWxldG4UuXzc8tfS00wNK2YxjZrkypAYxQu69qkRlyqqv5zUlNDmcVI8ykNshG3zjoLgAe3ivGUrz+3rFLDLaveVVRFrWrT7beP5XbblW20LjfgssdVLk5bdSMWoRooQWdXH6uyzg297DMtXRrLV16prbNt1PBL1diq1gY45pio5n/PJaMBGJbeKUDvNKDqqLbGjMuwNFZ33BG1ge95Tzmes2apUKDRvMp5MG3aQQDstFP8uX//cv6MGh5fbFUULzV607npblAtwx7AzRXnnwKOa+DaOSGE3LfyKeICPDod70FUic+uaAfRanROagfwZJ1293TVLoQwR0SWo1aoXfMB4p+u+Wtpt074guw4jtNmNGkPeZCIGM94LgshXGZ+HkitS4WyGBhQcd5S71qt1/LVEEJooB0V92y0nZ4bWHEeKPaePwl8M0nzTccX5DbGSne5m1MR/KPImVTy+opoeGPjP19/fSyXLNGcus+bK6JYqrGpbzbfmdW1SQ24rFCrkvHAj8d4ykXyY+D22dFIScM2N2K4ZY+11IxVVkLWd9Dd4B96TiW3KrenvI2lKihGbvCl4wKlhKxajEWLakt7rFKzHTOte+XYqGU4wrhEDfr61wHoceONABg7MXqksRqaxu7mm0uXqPHjP5z6dmM6U86DJUtiR6+/PmaV2nnn8p6Djoxzql/P+KB23uWuULkblD3nNE4TFuRFIYTxa2mTL5TQWKIpafDa7rTrqj+Ntuuy3yIyFriaGOD9n9fyGeuM7yE7juO0GSohb+A95K4kygFUS6CWxXWu1XotB4hIvlhWtaPingMbbAfQ39QXiMgoYDpRNX70hpKOwSXktqYqk1Oe0ckG/1jTEff1nkxSlg3iMXOm7jZqkIje5pMOAsoQmhoKE8qgHyrUDS0vKiXjC2Nkj5/OKN0Xf/azWM7Od44opcihQ2tLW6cScqfnpbMU3Eimpu6eqyc9W7R/2sb2M8+6lWs37DndQ64KLKJBXJZ+ZLei7vj0zvWv0pobbyzqVFruncZut5Eji7orr4yhNo855qB05mfmaeLcmDlzRwDuuKPMDKW3mDAhzjGbPUxdobTv+k6sG5RLyN1nI0hbusebM5baaDJdXftxEemT7SOPJaY6n23abQ28ndp9ZN3rfdq0I/VnfoPtZmgjERlJjEdU028RGQ7cTUw4NzGEYBPPNR2XkB3HcZx14RZgQpIggWJh2z/Vre3aXhjjr+S6dDzwixBCMvXjDuIC/ens+hOBJ5NVN8TFdVEX7RaTrA9DCC8Aj3XRbhVQWDeKyGCiPzPAoSGEhWt5pvXGJeQ2JA+PCZ0lxR6rO+8da37g+1JuAQ0CEnk4lSqCvbuo+fKXowin+Yxtkgi1v1ZJrMaSOu0Zq2Rs955VMtZn0b1gKPcmh6eME1Zi1GMNeamWu1WhM5u5T1zvuq7aVJ2rqlOr4yppX4+1bt68su6112KpknKtlBnf+fFpDAYZ0VpzLOvY9TXj+Ynr45bil78c8ylfcMFe5p7/l8o4V2666fCiZo8kR+mYjTD7/joXVVKuCjHqYTW7T2ctbzfpZEfVicuB04CbRWQycV/2HGAeMUCH9mMX4Dng7BDC2fHW4VER+SlwoYj0IqqDvwjsilksQwgvi8gFwJkishT4HXHRPhjjWhVCWCUi3yQGAvkTcSE9GDgF+FIIwf7B+yfgNhG5lLgvvC8xCMgPkw8yIrINcCcx7fopwPAkLStPbwhp2Rdkx3GcdkOk/l5MI+Sh0zJCCG+IyMHABUQ/XiGqd08PIZjNEwTYis4a2ZOJwTzOJe7fPkZUC/8ua/cNoiTw98Rdr2eAT4YQbs36c4mIBOCrxEhaLwCnhRAuztrdLiLHAt8GTgIWECN1fdc0G0JcqAH+p+LxP0g08GoqviA7juO0Ixt4QYZCBVwZV9q0mUuFBXOKdPWV9K/e9X8hLtrn1muX2l6Kkc7rtLsBkkqvun4ujVmLNxVfkNsQNeay7jwaszo35lrZswzQoLmD7747lkuXWvsGtZOIuXn32mufoub8s5LmZp+vArUOUXr3Ija1CU6hrk1VBlz6t0QNtoYMKetUZa3qaauyzo3XqtTT3VEv1zvXTIOv3Lirqn+6BVFP/W4N+TTXshp82fer73y77eIYHGHGZVi6YEWKfW3Hc8xX4xif/9ghANx1VzkPnngi7XmkuWLnz913R9sanQZDDynnneZNzuNcW5W1rg2usnbaGV+QHcdx2o1mqKydjY6PWBuRS1JWQlbjpsKYKzVWQy4og0pMn64RGZ4xd1fRawJQE8MDTj8dgBdS3EabG6jIZ5yyNmkoTOgc9MP+/VDJWI2ArGtTHvRDnw06S8ZKdzM0bSrqSdj1wnlWXZfnb67KEqVjsP3ny3F5TxqrUZ//PABPG1FVx3hEGvMpU/6rqPvIRyako9tSWc6f6dN3B2DChNjhMWVCMEYNj53XubnNNlFStvNXu+DGXQ3iC3JLskHdnkTkDhEJInJudn6AiEwVkUUi8oaI3CUie3V1H8dxHKcb6IK8Pv+cjc4Ge+si8tfAPhXnheiDtivwJWJElzOJKbDGhRBezK9xGiOXlqyE0dXesbrEQJmzuIy7boPtRFfD446L2RqO6PhlUbPyiiuA6DkPYH0DOPXUWJfyGdskEXnQD+vapHvG9YJ/VCWH6Ioqd6Kqn9fVtWl9r+vq56p+VgU5qdpfVnT/1eYgVpcoHQMNjQrwzslxrPo9FMMYD/v3fy/q9JdTx/yIE08s6o477mAArr12l3TG7j7HOXXvvfFPwoQJZc3w4VEizveSbZCTfI/cJeS14BJyS7JBJGQR6U80ha+ynjuKmArrMyGEq0MId6RzPYB/2BD9cRzHcZzNnQ2lsv4X4KkQwtUVdVtAp8cAACAASURBVEcBfw4h3KMnQgivAbey9hyajuM4TiO4yrrlaPpbF5EDgM9Soa5O7EHnnJUQY4x+VkT6Zk7lTh3qxUe2qs08Mpca+Dxkkqvdd58ac6mq0car3g+AyZPTj6eXuue5qVRHlv777VdedtppQJlHWXMZQ2mooypomx1Ij/P8xtC14ZZlfdXEjZzbENd1N4NUvj1h31Pe3mZP0mPNEmXHRcfq/6Wx629SSC2eORMox3y3c8t5MPlCVVnr+Nvdpzin7rtvTwAOOaT0z9ozniqid+WRu6BUX6vavd54OrjKukVp6oilEGiXAueFEJ7potlAyt9ni2bZGEAZn9HeexIwCWDIkBF5teM4jqP4gtySNHvE/hHYhtoQZDmN5resISXGvgxgzJjxaw2yuiWi7j+Vxk5JjNCMTsl7pUZCLt1U1Jhrl6LmuONiZJG958aY8cvuKXYcisy2I/XE5z5X1D24JAaeUCHrVZMQWfuXuzhBKempoVdVzuJGjLmURqWoDWm4VU/SbaSf9Vyi8hzRUL47vad9v3m8aDsuOlZ/9Vdx7N5jxnN4kpD/kH6280DnxnHHHQXAtdfuaHr6x1TGOfbQQ2OLmoMO0v7VZoLq6CglZH0unePLXIdWH1+QW5KmjZiIjCDGHP1bYGsR2dpUb50MvZay9jyYa8uj6TiO4zhtRzO/Qo0COoBpFXVnpH/7EveKP1zRZizwgu8fdw8bKlG/EGumo949TYiOJCWpJKTuTmZ7kFKK0ZuWruEpDgScdRFQZgKCcu+4t2Zy+sxniro7Y9rdyrzGuj+sEnJV1qZc6q9iXfcQ1zcPcjNDbq6v1FwVNESv03dp76PvXCVNGyBGx+rOO2P5ntPL8eydUnL1yTJCAex2UZwbp5+lErINLaAfEOfYAw+UErLORd1LHpjG2s7frbfuUfN8dt77HnIFLiG3JM0csUeJGTBy7iEu0j8iJpi+BThZRD4QQvgVgIj0Az4K/KSJ/XEcx9ly8QW55WjaiIUQXqUiHVXKyfnHEMK96edbiMmkp4nI1ygDgwjRXcpxHMdZH1xCbkk2+oiFENaIyJHAecDFRDX3DOCDIYR5dS92CuqpRovYzhVWR+rupJmdFi58xdxBLXvidv6+++5Q1Lyv7+NAmbzeJOJhNz049lgAfv1ov6JO3WnUeGiQSUyfuzTVy9rUKF0ZTjXq9rQx/oZ1N2pYXteoijbPIGXfr6qqdQyskdSiRbHUsbPj+f40xsPSPPhDeVkxN953Xpwr++67d1H3yCNqIhLnmJ13Tz4Zo78dcED8eeDozg+q8a3rzXtXXTutzgb/8xNCqMqDuRg4Jf1zHMdxmolLyC2Jj1iLYzP6dJIqjcig7k5qvPNkEZrlj5RosOOYmceEKYYrrwRKIx4ruHaMGxcPjjwSgPuvLOtUIq8KXKHSmZZbG7v8esE/upO5qZ6LUv5ZG4t1daVqxLir6np9PptvPpeMrduTntOxu//+su79J8Ux1jHvMBFFdG6MTHPlxBPPL+oeeUR9rrR9Oe9UQta5OWZMlIbV/Sk+Q20GKDvvbcATJ+ELckviI+Y4jtNu+ILckviItTj2d66T64uRlnL3llJCXmDupoEYooSctgsjh8Qct7rVuIOp4vDDAXj61WHZvTvvHW+/fVmXB/2weY274yrUyN+dqve0OdDdvufk76Ce9G3f71tvxVLHwI6LSsu6l2zHU8d4bBrz/kZCflkPbotz5di7Sgn5q1/dXe+QynLe6f11bupc7Vdnbm9OY7jZ4i+p5dig+ZAdx3Ecx2kM/wrlOI7TbrjKuiXxEWtRNFKR/Z1T1W8P1nRqr2pIjWG9cOEbqeZ10yrGq95331iOeOn/iprlzz4LUNx5B2tVk4IRa9QvNQay/dPMU9ttV9bpsdbVVb9XsK7qXhvlqSv08awhlH3ktVF1nT3XHbob37qrOvtzPh52XLRO54wdTx3jsWnMdzjvvKLupfSAOlfs/Nl333cD8Mgj26Yz5bzTuTh37rY1n9vPuMjpnO7oqI3YBeV4utuTwRfklsRHzHEcp93wBbkl8RFrMepJPaUxV2drJzXQUQm5NMGxIT6iwY5m3yEFegBIl5cZktXVCYqIDrPOij/aIBPahargH7lkvK6GV41Iwd2RbteGSrr2nlXnchrpQ9U99Vmq3HsakQrrvV8dg6o44ioZ2/HUuNOckKJ4mHnQO2WC0rkywsyfgw5SCVnF3ucpiXNx7txd4/XpBiOGdrZQ69nTA4Q0hC/ILYkbdTmO4zjOZoB/hWpRVJKqJyFrMBAo9+XKrD4qx1ixK+av1RCGXPlgUaMhGvrqifHji7o/vFgbdMRKKCptqSRWL6/xuu4X19sTrieVdndPV9tXSar1glM08jlV/cz3nhvZ+7bUCx+av3M7LjpWWqrECuUY65jvZuZB3yQhFwL1g+X8OeCkWF5wgeZIftb0bFG6d5SQda6u6VnmQ9YgIVUSsr4nDxBicAm5JfERcxzHaUd8QW45fMQcx3HaDZeQWxIfsRanWmUdixXGXmvhwliWKmt1O7F60Bh/a8KE9OPpZRSmlaksVNZ77FHUaUL7JUs69y9Xf/bt27muU//p/Leku+raeq5GuWrTqnbrZYLKz9WLimVpxBBP+1T1nPWepbvvRdH+1huXKpW1jrGO+W5mHugtFusJE8WrmFNFjDfb8TgXdW7qXLXzVzdfPFKX0874tHYcx2k3XEJuSXzEWpS6rkIVEvJrr8WylHa0sjScGTAg5r0d1hFlnDXzOqenLjLjvvOdxbm5yRXmjTc69ynPQNWoUde6Sn4qaWpp34Gi5+plUapnwNVd9FmqDLfycazKPJWfa/Td1GuX50q2n5GPlR0XHePCfc7MgzJrcsTOH51TAwYMBGDJkt6mZRwQnZs6V2sk5Kwvm2ts8s0GX5BbEh8xx3GcdsMX5JbER6yNsXuOuve3ZImKfJr7uBSNhmvK2hT9wcSDKOgxdGjWGBalfLkq0VSFaNRcx82QbFRqrZJw83PaJ/suGrm+q5/XhUb2kLW0Uq1K1Lmk2uj13embvaeOVVVIU32fhabFzINibqSIInb+9Etzavjw9wGwZIkV+99M5/6SyvgQNXvmGzlndVvgC3LL4YFBHMdxHGczwL9COY7jtBuusm5JfMRajDzLk1VR5lmeNAk9lMY4pTGXqq7LrPU77ZQOkv+JtYcqJsrgwbFU9SRlZKXclcb2b5v0MVVGXfXUrbl6GeobZb35Zu11eVt7XBX7OP8bVmVk1V1ytbc1Vsr7UKWO1j7k79K2qTIKy99r1futuk7vr+1tnY61lnYe6NzomVTWdv70S3NK59gTT1ijLlVuxyveeCNmfbLzl5SNSuf4VluVyr38OT2WNb4gtyg+Yo7jOO2GL8gtiY9YO5J+EaukyjLEh0rTpS/OgAHpIEVmWElJIY+k4NRr+pZOLiqVZh8PlNJWI+4q1sUoN8qqepZ60m9OlaSrxkvWHame+1EjQSnquVJV9VcNl2qkwexeueuWbZv3t0rarxcrvN645GNn0TG386BHmhs6V+z80TlVzDGsD5jOxXjFihXbdnoWX1y6iS/ILYkbdTmO4zjOZoB/hWpx6mUzqpYc1ZdExdFyY7HY+00bznZHuvjmlsQtmyNXJduqveB6UmU9F6NcCrZSYlWwj/zzVPpVKc/ua9cLVpK7+lS5ITUiIddzs7Lvrt5zajuVRlUyrhpXva4qwEdV8I96uYPr7e3noT7ts/RLH6BzpcaiIc2pchzshrbOxVU1faq3F9zM/NZti0vILYdLyI7jOO2GqqzX519DHyM7i8h1IvKaiLwuIjeIyIgGr+0QkR+IyHwReVNEZojI+yva9RCRM0VkroisEJHHROSYLu55qojMEpG3ROQZEflCF+2OFpFH0v3+KCKTRWSrrM0BInKliDwpIqtFZG4jz7U++ILsOI7TbmyEBVlE+gC/BMYAnwM+A7wDuEdEtm2glz8CTgW+BRwJzAfuFJFxWbtzgLOAi4DDgQeAa0XkiKw/pwKXAtcDE4FrgYtF5ItZu8NSm5npfj8EJgPfyz73Q8CBwFPA7xt4nvXGdRpbCF2r/8ovhYVqMulb11S0buQXtcpIqqofubrVqmvrGTvlKtWqTEXJvqhuNiNV4fbuaZ4015d214emZ1ZWddi8lJWr43difXarAtZjLdXVqKpNVXe1Tt+lfb+5oVc91XXD6uFssGvmT+pEqf7uOqSYuy21DKcCo4DdQwizAUTkceBZ4PPA+V1dKCL7AJ8CTgkhXJHO/Yq4+J0NHJXO7QCcAUwJIZyXLr9HREYDU4DbU7uewHeBq0II3zDthgHniMjUEIJuJE0B7g8hTDLt+gKTReSCEMJL6fw5IYTvpPtPAw5Yp7fUDVxCdhzHaTc2jsr6KOABXYwBQghzgN8AH2vg2lXAT821q4FrgMNEJFmBcBgxA8607PppwF4ismv6+b3A4Ip2VwHbkxZTEdkZGNdFu15EiVn7UymTbEhcQt5C6Pr3q/Q1KtyOkkhkv60VMzOJL1WZmeoZbnXlwgPVmZVyKUmNtAC2S0EiVArWsuqcSoI9VhsnnKJT1Jb2ISr8ntZk31/rBRTJg7TUXGBegobH6J2u7zeovNGaob1rmncKylFxbunSsk61C1ra96vvXKVfOy71lAO5oVfNc6cL9Mlr3lb6oLIPXafRclukJrBx3J72AG6uOP8UcFwD184JISyvuLY3MDod7wG8BcyuaAcwFpiT2gE8WafdPV21CyHMEZHlqd0mw6e+4zhOO7L+C/IgEXnI/HxZCOEy8/NAYEnFdYuBARXnLfWu1XotXw0hhAbaUXHPRtvpuYEV5zcaviC3ODUZcTKqg3DohqDu4ZWSSiElbRvtMSol5CSC9ekoJcBevWolR9snvadKbrZPuQRm6/J93iopePvtY6kSs21fSMTpM9b0LEM1rljdu6ZPZVjRrl2N7LPU2+MsBezynZQuWL3Ts5V9Sa+6eIYO8w70GfroPZPEbN+FPsMrr8SySnqu2qPPpWdbp/esypSlqGRt54FeWCkhpwctP8dKyDoX400bCcBSb947NEtCXhRCGL+WNvlCCSAN3FsavLY77brqT6PtGun3BsX3kB3HcZx1oSuJcgDVEqhlcZ1rtV7LASKSL5ZV7ai458AG2wH0N/WbBF+QHcdx2o2NY9Sle7w5Y4GnG7h21+Q6lV+7knLP+Clga+DtFe0wn6N7xXl/GmonIiOBPg30e4OyQVTWyT/s68C7iBqsPwD/EEL4ZaofAPwAOJqYbmgG8OUQwhMboj9bHIXhVakaLW2U9Jx+Fyt1fynccJm1x9yyUExWWBb17Vv7ZbNKBaznqlxoclelqnODBnWus65MShkNq3dNN4tnAxYsqH2ERYvKuty1yMbproqUlZNHCoPO0cLsc+pz6bkhQ8q6wYNrVdS5Gt8e62fYe+tzVblL5edsnY5VPnaW4t1X6Mh1rtT8cUlzqhwHq3PWuRiftzL2dlU6LKdrNo5R1y3AeSIyKoTwfPxYGQnsT/z7v7Zrv0M0/vpxurYncDzwixCCbhbdQVygP53aKycCTyarbohryKLU7q6s3WKi5TchhBdE5LHUbmrWbhXw8waee4PR9BETkc8THbgvIjp09yCamfdJ9UIcjF2BLxFVG2cSfcHGhRBebHafHMdxtig2zoJ8OXAacLOITCbuy54DzCMG6EhdkV2A54CzQwhnA4QQHhWRnwIXikgvoqX0F4nrwqf12hDCyyJyAXCmiCwFfkdctA/GuFaFEFaJyDeJgUD+RFyUDwZOAb4UQrC5Tv4JuE1ELgWuBvYlBgb5ofFBRkQGAx9IP44A+ojIsennp0MITZemmzpi6dvRhcDXQggXmqo7zfFRRJ+wg0MI96TrZhAH5B+A/6+ZfWo38rjI1pVF3XJU3rBS2rZF3BwVr9SQppynKjkyfHhNSzCeQSnXbVFSSshVrk0qQKnktq2J35NLjGqkBbDjjrVtqqThKjegvHsV3S2OVYKsCrShz5BnsoLad55TlXM4zwVdFaREJWWbXliPuyqhMelZ28yf33W/l5gdv3qBSDoFY6l4sTpXahzH0pwq5lhNLih9afEKnSN2/io6x6tc5OqNyxbHRliQQwhviMjBwAVEP14B7gZODyGYWYMQBznfIj2ZGMzjXOL+7WPAxBDC77J23yAmzf57YCjwDPDJEMKtWX8uEZEAfBX4GvACcFoI4eKs3e1pYf02cBKwgBil67vZ5+5BjPZl0Z+/Q4we1lSaPWKnEDVWl9RpcxTwZ12MAUIIr4nIrcRvPL4gO47jtAAhhBeAyrjSps1cKiyYQwhvAl9J/+pd/xfion1uA/25FCOd12l3A3DDWtrcy0a2vG72gnwAMAs4IakPdgHmAheEEP4jtdmDzs7bEDfbPysifbNvV846YvdrNQ/tgAFRGlmyJIltlK967tx0MHo0AFYo1X3B1Uls6jlnTlHXv3+0m1BJpcr1RutUWoRSykrCU+U+sX7JtxKcuviocPai2eTQZ9Bz2sb2KQ83aV1o8oxO1qVKaSTbU9U5/Vz7LPp52m8rPatkqxKxvqeRI8s2ek7bWC2D9r3KjUjHoWpc8nG0765TMBYzD1Zne8g1So00p4o5ViMhx5Y6N3Wuekan9cT321uOZo/YsPTvB0Q9/XPETfuLRKRnCOGHRHPzuRXXqrn5AOwq4TiO43SPjbOH7DSZZo9YD2A74KSkEgD4ZdpbPlNE/o3GHb1rK0UmAZMAhgxpKLtXW1MV3lCP1Y7a7ie+7W2xVCl0yRLdzC3FtSVLojntgrADAEPsZmUSNV9PPw4sRR22T/fU3/+qMIyKlQDVojgPc2mvq9oDnp0cInJpGMp9UrUMrpJY831Xa5ms+5cqpVXlUa6SOOuFCM0lY2u1nO/T2utyK+l582JpXn0nqTkJokApNeuY2/ebW3VbS/P8mWyf9JkLSdx05nVq6Wnmj84pnWO1Vtbb1vRT52pF9NK6894x+ILckjTbDzkpE5menf8FMATYkbU7hFc6lIcQLgshjA8hjO/ff3Az+uo4juM4mw3N/gr1FDCh4rxKv2tSmw9XtBkLvOD7x47jOOuJS8gtSbNH7Ebgb4gps64z5w8DXgwhvCQitwAni8gHQgi/AhCRfsBHgZ80uT9tT6Mq6xSXoVBxPvtsv1RjfUVeBuDhh2NGsyP22quo6Ug6Y03NMvC554q6kSnarapBrXpZqVIP50ZH1r1GVc+qETUfV6hu1YXGXqfvIDc+qnIn2mmnWKqLFZRq07pxstVsqSLdk7rlVMWGVmM0qx7W5/zTn2JZ5Z6Vq7Wtij4PfGKvf3uKbaTqbPucudFaVVCWvK1tVxiWPVgOjM6NYtqZ+fPww3r0cirtvItzUeemztUalXUWR9zV1GvBF+SWpNkjdjsxxdWlIjIIeB44ligRn5za3EKMqjJNRL5GGRhEgH9pcn8cx3G2THxBbjmaOmIhhCAiRwPfJzpODyC6QX06hPCT1GaNiBwJnAdcTPxCPQP4YAhhXjP7086oq06lcUtKGWRzAPfvH+VmlUJizm4ogzJA9I+He+9NEvIBBxQ1/aZHs4BC8Js1q6hTQUjvbaU0lXKqwiGqFJkH6oBSClQDriqpUN+BdZdS6VcluCpjJ+1nv57LO3dYxdDnKqysqqKEZKhRRh/jR9QnPfyQws/LiKDjY4dfXx1D+trnzI3XtLTdVUMxlbDrhS197bWyzr4zqB2XfMys9KzvrhB+v1POA31TqnvBzJ9779UjjQxi5932NffWz6vJYZ06uLoi45ZnfqrAJeSWpOkjFkJ4Hfi79K+rNouJQUROafbnO47jOE4r4l+hWgyVDDREY6WEXOF/NGhQlJDLoBKaxcBu1MVNzkKauWhiUbPDt78NGAfyRx4p6vrMipHuxo9/F1Ar6eauKzbIRO5WM8/oR1Ti03tZQVWlOy2t9DtmTO25YYOSlGVFz1lZzEwr+ebxF6tiYTaCvad+jj6MvWcSe/sl6XmsEV3HTowi458XxbFTidkoJ4pzuYuUuXXx8TbBxs47x1LHZ1mFKWWVO9r4ZC+gY27ngQYE2UFPTCznz72n6ZE6YtiJEeeizs3iFdjJnTpRbw/Z95UNLiG3JD5ijuM47YYvyC2Jj5jjOE674QtyS+Ij1qLkWZ+gVOvmWZ+gVD+qKnfnnaMKcN68AaZVdEmZOTPe6PlB7y5qRu23HwC9Z84EYLmxLOpz220ATDwxqqytdjg32KrwFKqMmazPom1s/GZ9Bi333LOs66SifrRC562dqLJayi2arA+QdqYqhFTecfugeRgu2xc9rhOqa1jS4Q6bEFXYo0eXea6fTFHhVXWtpbm8MquVuozpo9vu6jjoo9stgUILPS2OuZ0H2qveaa7Y+aNzqoznVSi2i7mon2OHQ8ndyWx/PctTF/iC3HI0O1KX4ziO4zjrgH+FanGqjLryACEA/fpGk5uRI+N3MDV+mjdvB9NKRdsnALjyyv2KmrOPjXm5+yUJ+WVz1cjrYgyYUUl8mjChlIx+/vN053RrG4dZUbcVm91HDXtUMt5997JOXW70GXq89OeycnYS73IR20YGyZIQL19dvqk8CMcyI+1b4RWqpX2I7ktWiO7bN77jvnmmJKBPzyTR10vO/GrtMw0zNxh6yDCgdBmy2Z6eeSaW+s6rApJUZVTSZ9E41xNM7L1Ri/4vHqQxt/OgcHdKc+XKK+1dn0ilujKV807HUcda5yoVSg0PDNIgrrJuSXzEHMdx2g1fkFsSH7E2It+i7N2zc+Xw4VGCGzcunp4+fbhp9Fgq40bk1KlGQn7ybwEYeG7MEf6ixoMEXn4iSj87TJ0KwEHnlRLy/ffHUkMn2qAWKuWo8FoVvEP7afeJRw1PUtbcF2tvZMlSHb2+opSCi33tubG0e9f6WFXZohqTkCNWQtY6zSRlw3FqwJZBg4bVdBugX0cmPefiO9Bj7vMAjB09PH1u+Zx5zmMrfOf5om3/8/E46CDzYGfEMdYxtxmeRuqD/W2cK1PNmOmcKgOClPNOx7gIWpO/aKq33506+ILckvgesuM4juNsBvhXKMdxnHbDJeSWxEesRVE1pI3jq+c0SFS/wUZvmvSVqo5UQ5rBg0u3p4ULk06VqAadP/+Jou4nd0RLqk8dcggAa268sahTZeQOV10VP/fEE4u6oUPfD5Sq0XnzSp2jSOyfJqS3HkaqLtV+jhq5pqx8Kalw9Q+OvTCpqBcsjMqfBSmqlVWV5/ZT9cJVW5eaekG78njKVj2s12mkLBPmupN3VW1c7qh+HjIkqrOHjBla+wC28+ncqJGlznv16vgOVNNt3dH0OfW9hGB1wR3p8+NP/R79dVmVxljHvI+5ijQ3fnJHTHdu5w+o4d0ooHbe6RgX6nqdyGZc31xYW1U1750MX5BbDh8xx3GcdsMl5JbER6zFsRKcSgp6bo0xEeiRKvskQ6ExY6L0pQY1ANOna8Lcp1P5WFE3dWqSkP/mGAD6Ggn5hVTOTtLa6BQoBGDPQ6KEXP5tKNMRhRDLbbaJEtlwY1+mLjCF1GQtrzLJeHnPwuGGF7PsUHlO4fwYqo2zVKqtMs5qhKpsRDouVY9SFYs6D+zx2vA4nsOHly5DfTqSWZVKyuYGQ4dGSVXfpX2/KqWXknE5Lj17xocuDOnMeOoYq4w+FsMxcW4k2z7s/Cl9mOIcs/NOJeTCBWxFfHl2/uaBcDwYyFrwBbklcaMux3Ecx9kM8K9QbUSePcnujfbJwj1qbAkrNYFuYKrrzIKiRt2XmPremhYAuj2rQuFoExHioHP/Jd453XrOHOsoE/cVH3kk7pEuWlRGtXj0UWqug4FFnQqBKv1qTmAo3ZX0+VTCthLZX/1VLA88MJbDlv2hrNQHfeihWGpsSigjbGSBOoDOYThtrE8VNTVVkskT/Oe+uwFw333xZ3UPg/Id5FK+uk8BDBgQtQNDh/ar+XiLSth6P4B58zTrku7tlvu1gwbFcSjcnU68sqh7XO+ZSvNa4b1xbtx/sp5YYCp1xsQBtfOuU5/Tu6yKMOr7xQ3iEnJL4iPmOI7TbviC3JL4iDmO47Qha3xHsuXwBbmNUOMhVe+ZYFp0DI4OKj1WR8MZ9SixEbAGDIi+RkuW7JPOvFLUrVoVj38xO7qtfPiv/7qo+/DVV9d2xOiHO4eSNsGW0/GYMVHdam7JSSfFcsSi38WDu+4qKx94IJZLfh9LEyB7tT78vPT5zyZV8tydy+tnp4f+YwrSbFTIK088JX7E6FhaNa9mUlIVcpXGuirqmL4OjQnd+6HfFnXDbroJgOPTMx1vVeTz5tU+U6JnzfbDyPTB74zlGBN4OrkhvTAoZuGysaWvvjq++1mzOgez1mcoBCwznu+aPr2m7QgzaDo3dK7AMNMyfp7OMTvvrNcawJqOOFeXLizP6SvI3cucakJw9X4r4l+hHMdxHGczwCXkFsd+C84DV1S5RPVOYo9KJTvtVLZR95MZM3ZJZ0pXGM0ENW1alHQ+fMYZRc3IRx4BYOWsFIVjYSna9LjpBgCmTPkEAEceWbooqWGP5tjVtgBcmIyrNMKGtQL6+tcBeLwjxsy+6KKy6vLLVZq8OxYrfhPLZ58pGz2b3GtuTJZU3Mfmw17m+PhUqtT7IQBO/UwpIZ92Wiz3XpGyMN1xR3n5JZcAMCIN9reMJmDyU59IzeN42KAh2qwYDzOeKvP21sli5sG0C/VIb2Yl+Tin9DI77woJOc3NRlybXPqrj0vIrYkvyI7jOG2GL8itiS/IbUhVzthiG7KjdpdiQBnBsNj3nDFDpVEjNiUXlmnT4k8nnPCuouaIFCpz9eTJADxtNl57pGARo9LPkz74wfKWX/hCbD/rkwB8/cpPFFW33vqOdKT70zPL675tjoHa8BQxF++hh34EgClTYvmuuUb6TiL18nvuGqT2FQAAIABJREFUAUrHH4DFqdTXZQJ2Fsf19nmq2uixyosDTZ1KnH30vZxW+Azxu5HxfSSFANOnx+e+/PLrijaXX/40XaPSdtzn/ejsUvqekiTVI5b9bzy45pKibtnn43tRFyf7DnZLZe805re/VM4DnRulu1OpDdHsTjrH7LxTVqZQn1UuTr64dA9fkFsT30N2HMdxnM0Al5Adx3HaEJeQWw9fkFucer7/9hdSbaM02tP8+bFUVx6wGZE0qtLuRd1220WV44XJcOeIl/6rqFuZVNUa03qM6UPHj38MwD/P/ywAX/+6Cat1T3JpSjGPd911n6Lqxz+O6tXPHp0MzO69t7xOdZrJQmjBkL2Lqptvrm1+wgmxXLSoVIdDPB6UtOI2qJYaHWlp3ZfUHUgjS229dVn31luxzKOIQfmO1eZNSyg9thaplv9vyzqNUqYBvi69dD8APvax/Yo2QxY8XntT6xKVQm39901RdXzWWWXVHntonGl1Q7u+qJsyJeqT/3HH/wZgxec+V/Y3laPSmB/xox2LuqlTo6vY6ad/GIClS+2WR5xT+l7svNNsXzumW+mcrreg2HnvC09nXGXdmviC7DiO02b4gtya+ILcRvRKMR6qpOY8vvVrr8XSZhdSt6nBg3ultqWrkcaGKOIODypFx96HHgrAGBVLyyggRXCLzyRbpYcfLq15rr1W3XmiJDVnzstF3fe/HzMavfhilO5OPPGoom7EihR7+tlnARhiAoNMGhc/e9KJMfLE03NjkAkNTQ1lsA+9zEqz+gjWe6grrJtZI9mH8tzHUAbIUCndxtxWyXjsyOXxQIOGPGg6rJ1IF77QsVtRNS25g6UUxjXvtzQxi2Nw3HFlgOzPfCYdXBHHrmPnMqjKGH1ZGujaqBD6L6p9hkcfLeePPrt21847nYvbbVfb1qJzWue4Z3uqjy/IrYkbdTmO4zjOZoBLyC1Kd+PGd9XeSnm5hG0jNqpEUwSQGD+yrNTNTr2ZFTkffBCAYYfH/eKjjy7dZGbNilLZE0+oe8wiUxeDd1x4YZSyjBDMCSdEKfDgQ1MfNJRmvDCWSZocm/o2dlzZ38+eEDeI/zC3d80lUO5t5vmUodyHr3LL0XdWJQWrwkBjm9h9ad2r3m3kytr+A8yem55vUe2H2E3vFI/zl/fHZ7nmmrIqReVk4UIdNJtpK2oq9torjsHRR5c1w15Ke/tp7Gpego6xjrnpy4tJ81CVDEvfh86xPIiNpZE95PVpvyXgEnJr4guy4zhOG+ILcuvhKmvHcZw2QyXk9fnXCCKys4hcJyKvicjrInKDiIxo8NoOEfmBiMwXkTdFZIaIvL+iXQ8ROVNE5orIChF5TESO6eKep4rILBF5S0SeEZEvdNHuaBF5JN3vjyIyWUQ66W1E5AAR+W3q30sicr6IbNPI860LLiFvIegvWK5aVUMaKA22tM7+UqrWUg2iXji6/J0boWmMZswAYIXRL3fcl+JEp1RDnzprpLlnjFl10UXR32XOHGupEw2QFi6MblKXX14aCN13X1S3fvzjUU175JHl7/D7jh6njWL53HOxtFZdid2SHnU3Vb8C7Jk+55CkZ7YGaukFrUwuPFUq694k1bO1WtKXp6UNHH1TUkerPtyi/Xr722N54IEA/PbJMgLWbWfF8sYbYzlrlnErKyKtaYqkHYqaXXeN71yzan1q4uKijrOujGV6hytMiqUODUKdxvwFynmgc0Mf074fnVM6x+y80zpXPbcWItIH+CXwFvA5IADnAveIyN4hhDfqXQ/8CPgI8DXgeeDvgDtF5L0hBJNnjXOAM4BvAA8DJwDXisiRIYTbTX9OBS4Fvg/cRQz+frGISAjhP027w4h+fj8CvgLsC3wP2A74R9Nub2A6cCdwJLAr8ANgJ8pA803FF2THcZw2YyPtIZ9KjIq7ewhhNoCIPA48C3weOL+rC0VkH+BTwCkhhCvSuV8BTwFnA0elczsQF+MpIYTz0uX3iMhoYApwe2rXE/gucFUI4Rum3TDgHBGZGkLQb5ZTgPtDCJNMu77AZBG5IISgRhPfIX6rPU6vFZGVwI9F5J9DCBpIoWk0dUEWkf2BbwPjiH4Vs4GLQgj/Zdp0EL/xnAj0Bx4F/jGE8Otm9qXdySXeqroqCU7RoBaFGxOlQKZC4aLSxqrIrayeN9YtaNKxMX60ikgdJj/yiiQpdlx7bTxhfFq+koI09+0bJeVLLiml4EceUTecOaks8wTPmhXv8f3vx/ZTp5bBKSZOjNLj0UfHGNYTU6CNPo+WOYgLaVkNqKxRmEqqdf6aacas3lWVjUSzqLL4Uusu9XUClo97H1C+65tSZif77hcuTBFeCmnY5k7Wd7grAPvuW7qcpTDiTDo2ScZTppSXpbEqxs76IWnM7TTmd9xWVunc0LlS9Zg6x+y8swFWLI3GsnaJujMbaUE+CnhAF+P4uWGOiPwG+Bh1FuR07Srgp+ba1SJyDfB1Edk6hPAWcBjxV21adv004L9EZNcQwhzgvcDginZXAScDBxAX3p2J69OkinbfAQ4HrhCRXsBE4HyzkAP8L3B5er6mL8hN20NO4v1dQC/iN6djiBkBfiQiXzRNf5Tqv0VUA8wnqinG4TiO46w3G2kPeQ/sN+WSp6jN+NLVtXNCCMsrru0NjDbt3iIKd3k7zOfskcq8Pw21S4v6ctPu7UShMm+3AniOtT/fOtFMCfkEYCvgoyEE3RCbnlQTnwX+s1E1hbNu6FZfPZeoPMCClWJyCdl6u6i0rOfuv7+s23PPmLPofbohafZPO37+cwBWpwt7Wr+c5BczKYlrY8aUc3zq1CjN3XRTLJcutb+PKg3G7EcLF5a2GFddtX0qY8jNHVM8xokT31e0OeSQePyhb8efh7z2h/LWM1MmqWdS/mS736svoZ7fk75Quy+t/k67p1Ck+5WhLxe8Lbpw3Z3SN981tbxMJeH5GueUP6bylbIRuu+u+8qllmG77eLfNHVp+lsTlvP9g1KWqLNSlif1kaIcq0IyPvzw8sI0xr+dG8fczgOdGzq37CvIJWQ77+oFtMlZtWrtbZzIRpCQBwJLKs4vRv3q1u1ardfy1RBCaKAdFfdstJ2ea6TdYmqTtjWNZlpZ9yaqIN7Mzr9qPqdSTQFcAxwmIl0orxzHcZyNzCARecj8y9W8EA25cqSBe0uD13anXVf9abSdrEO7ptJMCflK4IvAv4nId4ni/3FESzcNxteImuIpHMdxnHWmSXvIi0II4+vUW4nSMoBqydKyGKhyjxpg6rUckCylw1rakfoz37QbWKddTv8G2w1gA61TTVuQQwhPishBwI3A/0unVwFfCCGonrJRNYXTBOoZdVXZF6k6cciQWA4vtZ+dDMVstp677krtT4ruRyP+ZmmnD+qpbkgLF5Z1t94ay6QKfr8JFzVh6icBOOSQ+PN115Xhre64Ix6vWpXUroXhF4Cei6rn+fOj6dUVV5RWRFdcMSwdRWOn7bYr4z+PG7dbKuPPo41lg76P3D0MSi12p4hmlO/q0UtTaSwqyoxI+gx/Ns+iqv/kSlUYaQ0xbeK76NUrqvsnTixr1NZOM171vul/y8pLkoo6uarZcemp+uXkZoXJ9vTCyDjGd11Z+2xQzg19P3b+6JyqUll3pap2Y611ZyMZdT1FuSdrGUv5i1jv2o+LSJ9MQBtLnPCzTbutiXu6s7N2mM/RBXIPahfkeu1maCMRGQn0Me2eI+5d1zxfMkoeBVy7ludbJ5pp1PUOom/XU8BHgUOAS4BLROTT2ox1VAGIyCRVnbz66sK1NXccx9li2UhGXbcAE0RklJ5IC9v+qW5t1/YialH12p5E/95fJAtrgDuIC/Sns+tPBJ5MxlgQF9dFXbRbDPwGIITwAjHfa1W7VcDPU7uV6bM/mfqlHEv8grC251snmqmy/h7xgY40ZuJ3i8j2wA9F5GoaV1N0IoRwGXAZwJgx49e2T7BFU+USlZ/LA4RA57y0rxjboTyfso1jkbtCnXDCR4q6IoSFikY2QIdaAT3ySO3Ngd7JJemzKavQsdeUwT9UsP7Zz8amzy2NwRYu1N9P/aKrhlDWWFLdnOI0Xbq0V1Fz333bpFKl0X7mOn1ZGqjHBvZR4yo1obDuRxpD+o2sTdmH+LcJwIiOqDuX/r2Lzzl48K5FC5WIP5Je+Uc/Wl7d56HkSTjl3lha96456T1p2qS99irr1PUq3fT1A8vxvCPpunTM7TzIg3/YmCo6p3SO2XmXS8hVi4FLy91jI0nIlwOnATeLyGSisHUOMI8YoAMAEdmFKHGeHUI4O/YvPCoiPwUuTC5Gc4hbnrtiFssQwssicgFwpogsJboaHQ8cTHQ90narROSbxEAgfyJ6/BwMnAJ8KS2wyj8Bt4nIpcDVxMAgk4EfGh9kgLOIC/3/ish/ACOJgUGuCyE8vM5vrQ7NXJD3Ah7LfLYA/o9oWb0DjaspHMdxnM2YEMIbInIwcAHRj1eAu4HTjacN6fxWdNbInkwM5nEucf/2MWBiRcCNbwDLgL8HhgLPAJ8MIdya9ecSEQnAV4nRv14ATgshXJy1u11EjiXGzDgJWEAUKL+btXs0RfX6Z+BnwGvAfxMX9A1CMxfkl4BxItI7+zbyHqK4sJgo5n+HqKb4MXSppnDWARV21I2kkT1kK6loOMPc/QnKYA+Kvbd6A2mcDd1TBpg4MUpXffTmGnoR4LHHYqmS8hJjXqD+NCkMZx8j3R2fNniPvyiGb3x8binF3nVXlB6nT4+l5jdeseIZ03s9fj6VdstpQSpVqrWS7rqiL1n7afyB2CWVKgXvXl7VEY819XBKO13sqwPsPTL1U9/PRSbioA6IbmjbQRw8OJYqGe+zT1mX9o6Xj0/7xSYQid7SBo1RVDLW/WI7f3ROVeU87s4esudBbpyNoVVIKuDKuNKmzVwqtiVDCG8SQ1d+ZS3X/4W4aJ/bQH8uxUjnddrdANzQQLtfE4OObBSauSBfRNzovlVELibq5Y4C/hq4IC3SDakpHMdxnHXH0y+2Js20sr5ORI4gBueeShQLniMGDLffWBpVUzgNUCUFVwUI6eqX07ZRy1eVdGxgB93efSvpMOzeoVoYqyBmU/rqvSZMiNJWHxszceedY5knIbYfoB9s9561fRJ/9zY5efceH0NQfuWkPQF4/tVouD9zZil5Pvjg7jW31Fgg8VleTkcqNS8oKztJzVZc0/3kXBqG0io6bqR2dJRJHjRGiG7bvuc9dKob1T+ZVujG7QPmBV8zN5YqstqkFvXMnvPkzONKc/Llo/eOH5OEbjueOkQ65lbS1fmjwredP9oFbdNoyFclDwjii019fEFuTZoayzqE8HOSlVqdNg2pKRzHcRxnS8KzPTmO47QZLiG3Jr4gtzFVv5C5qrBK5VjltqIa5KowznqsNkPz5nW+p37OuHF7F3V9clWqVVmroVeVn5V2Is8zDGVS3vTBo5LedJR5mOOPTJ932shYGpX3Cy/ukLqyQ6dbq1ZYu2LVqHls8Ko4zvqYI4avKSs1d7SW9h1c91L1B6+oMDTTgbWDVm9AM5X18kGd8xqrhtyOZ27cZ+dPbgxYkUq603yoop7q2mkMX5BbE1+QHcdx2gxfkFsTX5DbiEZS8dbLo6znVJqx0pBKO3rOflZu8LXA2EGpm4tKRluZWBrvfGeUyvqNqxArc6nQGitpJ954o7aNPc6vs5ZJioppRlwbkY61rInxqIl7+5aBRDqhYvNc48H3ZCbZWgm36pzSVRQX+560f9umQCb6wqGzWFqRger1ntHo7fdPlFW5t5QdTx3jPAgIwPYx0VYxVzQIiG1XL6NTPn+tBkLdnXyRaRx/V61HM7M9OY7jOI6zjriEvIWQf1uuklRU6tG26r4Cnd2dbIAGbZ8Lp1BKWXrvqs99xzuilDZwtNlYVJGq6qb6gSpVvmlCUeZSs5ZW3O+qDZQSddVGZndEDvuguaRr6/TFqFipki50Vi/k0jDANtvU3qfKj61CQl68og8Az/4+/vyMiZuSb2fb15Pf2grdGh5Tz9n5U6GM6ITvHTcPV1m3Jr4gO47jtBm+ILcmviA7juO0Gb4gtya+ILcxVXF/GzHuUrWi1YyqGrKe25Ni7ZM0PLWqQesxcmSf4niIuuWocZc1rqoygMo7k5f2mtx9yKqzVTevanD7EvPPrfJ7UqxuVi3ZVL2sxmHQObizfc5cDV2l8s6xn5sZgS1YWJqM6HioqtrmNda6JRWZy3NVtXVt0mOts/OnEVW1oq/V41avO74gtyZu1OU4juM4mwEuIbch9aTfRlyjtFSBDkobq0ZsnWwmIBUq1VbKxr3Ir3/LeAq99Vb8rjh0aAzQ0XvF62WlSrjdeZgq6iXe3VhGXVXt19anep9nJOyVHTGe9kvpnVsthUrEVfFIdKxUQm00+Ice61yx86dezuNGHs+lve7j76z18AXZcRynzXCVdWviC3Ibs66/kFW5kvN7NnpvlbZ0S9ZKz/n2btU2r5ZDh5bZkwYO6qittBd21cEqibWeL1Y9iXVdWVeJvN6zZHvPi5f1LqpeyqRgKyHrcR6hFMo93DzyJnQOA9rd8Jj1HjPfO/YFZd3xBbk18T1kx3Ecx9kMcAnZcRynzXAJuTXxBXkLo54rST0tbYXNUEPodaoStR5GeVAsq3nWOi1VRRqPo1p26NAY4atP35VlZVdpqeqlvqqnsm7kpXR1/7yuEZV1vc+pcI1avjq+CzXcssZZL2bGXI1mrlJPLFVBV4TA7uTiZLvViLbfPq67OTUfX5BbE1+QHcdx2hBfkFsPX5C3EOq5QuVtlHp2UI2i12lsDHvP3HCryqhLJWRrDDZ/fix33jmWQ4eWhkyDBkWpud/QNV3fvF6Gpe7QqITcnXtVBfZIoufry6LJx6KKtNGas9hmZlIJWd+dNdzKuztgQHmsWZo0FnW94B/14phYumMM6AvJ+uMScmviRl2O4ziOsxngEvIWxvq6QjUiKdeTrG2wiHwf0/ZN6/LAIlBKhSoN2n3MUoKL3zX79+9XUwL0Te17rFhe+yG2E93172pkr7lOtqc1HTFsaFXiqVfnxlLfSdVesJ6zmoSqZFZ5l6qyNulxVXjMeq5N3Qn+4bmONywuIbcmviA7juO0Gb4gtya+IDuO47QZviC3Jr4gb6E0S3UNndXX9VTWVTZLueoaSi1yPYMvvc5GkspddXIDJSizEA0Y0Cf1o8wyVbjuVPS3O8G77PvNPbBqnjM9g2ZWeuONsm7hwli+9losq4yz9Lhe0LKqbYZcVV1PZW3fbz6OjRpwdRWNK2/nNA9/r62HG3U5juM4zmaAS8hOQXcCM6xraGibCjiPc2ENklTyqxfnusrgS++lRk76s3XPyc/ZvL1qdFYl0efPpa5c0PndVUnIWmpcbygl4ioDrPxcVZtcGrV9zA2vrKSbS7/bb1/WqQtU1burFy+lnj2cB//YuLjKujXxBdlxHKfN8AW5NfEFeQvH/tKq1NNdKaae1KTSlUqTVuJUabRKEstDZ1ZJjvnebNV1VVJ7Lv1W7WtXSfS9etEw1q1H8zxXhQjNpeeqPeBG4pfU0wSoFFy1115Vp8+s41OlDcn7aI/ruTZVXec0H1+QWxPfQ3Ycx3GczQCXkB3HcdoMl5BbE1+QnYLcMGhdDXCqVJxaWrVvnSRGnVSwVRGs1DjKugrlat4qda/eq5EkTxsi2VO9pE/1qFK/q0Gaqpet6rmeyjp/v/XU9vX62ahrU1fXOxsGX5BbE1+QHcdx2hBfkFsPX5CdTlS50NSTlutlkqoXA7sRCVmluioJucoNKA8oUmUY1YiUt7FoIMx1p7jTVQE+8vdVVVcvM9O6Gm5ZXDLefHAJuTVxoy7HcRzH2QxwCdnpkma4ROVUSWJVEra6SVXtIedScyMhN6tcjeqFcVzXfV6lEW0BlM+pe+tVe7m5BqGehFxVp59hM201EuCj6ucqlybFXZs2H1xCbk0akpBFZLiI/LuIzBCR5SISRGRkRbsOEfmBiMwXkTdT+/dXtOshImeKyFwRWSEij4nIMev/OI7jOI4uyOvzz9n4NKqyHg18ElgC3Fen3Y+AU4FvAUcC84E7RWRc1u4c4CzgIuBw4AHgWvn/27v3OLvK+t7jny8XQY6UDEViRSDB9CDkBYqmPaicEig1RBQ4bQRaqRdemN6s9FA9FpK2ICggCniXWLSU0FZullARUC5BBY4FBCQKFRqIaJFoQhAi1/76x/MssrJYe8+aPXtm9tr5vl+v/dozz/qtvZ81a2Z++7msZ0lvblxzMzOr5YTcTk27rG+MiOkAko4F3lQNkPRq4A+AYyLiS7lsObAC+BBwaC7bEXg/cHpEfCzvfr2kWcDpwJW9H45NlIn8A+02sah433JXbNHlXHTJNln5qluXdbGSVvn9unVdV2Orda/qNnGrWBWrSZd1t5XFuq29PZbu6bqypmtS+5/4YPH5aJ9GLeSI+K8GYYcCzwBfLu33LPDPwDxJxSKE84AXAUsr+y8F9pI0s0mdzMysfcY7ZCnpcEnfzfs+KGmxpM1r4vaTdFMePn1Y0lmSXlwTN1vSNZIel/RzSV+StH1N3M6SLpG0TtJjki6TtEslZltJH5N0Q44JSXObHls/J3XNBlZGxPpK+QpSAp6Vv54NPAXcVxMHsCewso/1sgnQdMJX0aKqWwe62gqu21YXU71cqm7N5Oo613WXPTVpIZdNxKSuagu522VPxfflu0xV92t6+VKVJ24NlwGf1HUKqZd0EXAbcBRpyPItEdG1h1TSPOBS0vDo8cA+wEeAbYEPluL2Br4OXE0aPp0JnAnsBBxZins5cANwD7AAmJbj/lXSfkVjVNI2wHWk3PVOIIBTSb27e0dEsTzRrwLHALfn9//dsfxg+pmQtyeNMVetKW0vnh+NiBglbiOSFgILAaZP36UuxMzMGNyE3Ichy9OBb0XEwtK+LwEWSzo7IvKNVzkZeAh4W0Q8k9/7aeB8SWdExO057gPAlsBbI+LRHPcTYDlwOHBZjnsPsBuwe0Tcl+PuAn4I/BFwVo57MCK2z9sPYgoTskifGurKe4nbSEQsAZYAvOpVc+r2tynS65Kb1f26LUXZdHy5KCvGl7vdeaiuNdxt/LRbWV09O5V1W1q0W+t3LO8xWj17XeCjyWvb1BvUhEz3IcsvSpoZEbU9pJJ2Bl5DbpiVXEBKwPOBL0naEjgYOKtIxtlFwBeAw0gtWEhDrV8tkjFARNwoaVWOu6wUd0uRjHPcSknfznFn5bJx5aZ+LgyyhvrW7Uhpe/E8IqmagKtxZmY2XJoMWXbbF+DucmFO4OtL+74S2Lom7kng/iIujyfPrMaV6lOuy+yGcePSzxbyCuD/SNqmMo68J/A0G07ACmAr0g/tvkocwPf7WCczs03OALeQexqyrGyrGxpdy8bDop3iyg3HEVLPbKe43Svv3SlupKa8J/1MyMtI3QZvA84HkLQFaQD9mogops5cRUrQb8/xhaOBuzt1V9jg6zY5q0k3dtPLiDq9R/nrand4Xbd2p+/L6iY2jVXdhLZCk+7obtvGMgmtW/d0mSduDYc+nLcdJN1a+n5JHjp8Xh4n/XqD11oeEXPpcciyEjPa/v2OK/Ra78Ya/9uTtCB/+br8PF/SamB1RCyPiDskfRk4J/fhrwT+hNQl8PbidSLiEUlnAydI+gWpL/9I4EBSX7yZmY1Dn1rIP4uIOaPE3ATs0eC1il7T54csK63kJkOW3VrR09h4WLRT3AgbusfXkpJsp7hyXdZ2iatrOfdkLC3kiyvffzY/Lwfm5q/fDXyYNB18GnAncHBpRlthEfA4cBzwMuBe4IiIuGIM9bEWmIwFRXqdZNXtLlWFcst6InWrw1gXKelU1qQ1PNr7WDtMVpd1Hp68Zwy7jGfIskiks4Gbi8K8jPM2pX3vJ41Tzy7ti6StSTOlLy7qLumBalypPssr790prm/DrI0ndUWEOjzmlmJ+GRHHR8TLImLriPhfEXFDzWs9FxGnRsSuEbFVROwdEZf055DMzGxAlYcsy0YdsoyIVaRGXt2+zwBfy3FP5/c5Ig+bFhaQPgwsK5UtAw6RtF1RIGk/YNeauH0l7VaKmwG8sRI3Lr7bk02qXj+1l1t3xZhskxbuePXjtZsc81hbv522dRvzdmt40zGok7rGMmQp6Vpg14iYVSo+kbRox7nAP5EWBlkMfKJ0DTKkeyXcDFwk6TPADNKCH5dExG2luDNJCX2ZpNOA7YCPAt8BvlKK+wLwXuBySYtJXd2nAD8Czq3Uez7wP4C9ctH+knYAnoiIr3X7+Tghm5kNmUFNyFnTIcvNqeSoiLgyz2f6W+BdwE9JK3V9uBJ3R17V6wzgq8A64B9ICb0c92NJB5CuI76U1Hq/HPjL8pLREfGEpAOBs0nXPQu4FviLiHicjX2O1MIunJSfHyR9MOjICdnMbAgNakKOiOdI84xOHSVubofyy9iwYEe3/W8EXt8g7nvA7zSIWwWMuuZ2RMwYLaYTJ2SbcuP9x1HXnV197aZdz2NZ/7lXTV+zU9xYu6XH+r7WfgPeQrYO+rlSl5mZmfXILWQbSN3Wsm66VnZZt1Z0t/et0+QSpV41WYhkrGuF26ap2V1zbZA4IZuZDZ0AevjkalPKCdlaoeniH01aj0XM5i+4pXkz/VhOs6qXVj+4FWzdOCG3jceQzczMBoBbyNZ6Y20ljvW+zZPJLV7rD3dZt5ETspnZUPKkrrZxQjYzGzpuIbeRE7JtctwtbMPPCbmNPKnLzMxsALiFbGY2lNxCbhsnZDOzoeMu6zZyQjYzG0qeZd02TshmZkPHLeQ28qQuMzOzAeAWspnZ0HELuY2ckM3MhpITcts4IZuZDR23kNvIY8hmZmYDwC1kM7Oh5Mue2sYJ2cxs6LjLuo2ckM3MhpITcts4IZuZDR23kNvIk7rMzMwGgFvIZmZDxy0zV7SnAAAP+UlEQVTkNnJCNjMbSp5l3TZOyGZmQ8ct5DbyGLKZmdkAcAvZzGwouYXcNo1ayJJeIelTkm6WtF5SSJpRiZkjaYmke3LMKkkXSppZ83qbSTpB0gOSnpR0p6Tf688hmZlt6oou6/E8bLI17bKeBRwBrAW+2SHmKGA28ElgPvBXwGuBWyXtXIk9BTgJ+HSOvQW4WNKbx1J5MzPrxAm5bZp2Wd8YEdMBJB0LvKkm5oyIWF0ukPRtYCXwHuBvctmOwPuB0yPiYzn0ekmzgNOBK8d8FGZmVhJ4lnX7NGohR8SoZ7aajHPZg8BqYKdS8TzgRcDSSvhSYK+6Lm4zM7NhN6GTuiTtAewI/KBUPBt4CrivEr4iP+9JalWbmVnP3O3cNhOWkCVtAXye1EI+r7Rpe+DRiIjKLmtK2+tebyGwEGD69F36W1kzs6Hi65DbaCKvQ/408Abg6IhYWyoX6belSt1eLCKWRMSciJgzbdpL+1hNM7Nh41nWbTQhLWRJp5Fas++MiGsqm9cAI5JUaSWPlLabmdm4eFJX2/S9hSxpEemSp+Mi4oKakBXAVsArK+V75ufv97tOZmZmg66vCVnS+4BTgUUR8akOYVcBTwNvr5QfDdwdEZ7QZWY2Lu6ybqPGCVnSAkkLgNflovm5bP+8/SjgHFLCvU7SvqVH0folIh4BzgZOkHS8pLmSPgccCJzYp+MyM9vEDWZCHu9KjZIOl/TdvO+DkhZL2rwmbj9JN0n6paSHJZ0l6cU1cbMlXSPpcUk/l/QlSS+YXCxpZ0mXSFon6TFJl0napRLz25KWSro/v+/9kj6X198Y1VjGkC+ufP/Z/LwcmAscTJqYdXB+lBUxhUXA48BxwMuAe4EjIuKKMdTHzMxqDfQs61NIi0MtAm4jrfJ4saS3RETXhaEkzQMuJV25czywD/ARYFvgg6W4vYGvA1cDbwFmAmeS1sQ4shT3cuAG4B5gATAtx/2rpP2KNTgkbQNcR7pk952kH/CppEWt9o6IJ/JL/jHwkrztP4BfB04G5uW4x7sdX+OEHBGjzYJ+F/Cuhq/1HKnCpzZ9fzMza7c+rNR4OvCtiFhY2vclwGJJZ0fEw7n8ZOAh4G0R8Ux+76eB8yWdERG357gPAFsCb42IR3PcT0iNyMOBy3Lce4DdgN0j4r4cdxfwQ+CPgLNy3J9WFslaLunf8+sdAXyx28H59otmZkNpILuse16pMd8T4TU1+15ASqrzc9yWpF7ai4pknF1Emr90WKnsUOCrRTIGiIgbgVU1cbcUyTjHrQS+XY6rW7ES+Lf8vFPNto04IZuZDZ1iLevxPCZEk5Uau+0LcHe5MCfG9aV9XwlsXRP3JHB/EZfHk2dW40r1KddldsO4Ovvn5x90jcL3QzYzG0IDO4bc00qNlW1ra7atLW3vFremtH2ENO+pU9zulffuFDdSUw6ApG1Jk51/APxLp7iCW8hmZkNp3F3WO0i6tfRYWH0HSQdJigaPG4pd6GGlxkrMaPv3O64wpnrn5aP/idRVfVREPNsptuAWspmZ1flZRMwZJeYmYI8Gr7U+P49npcZurehppe3d4kbY0D2+lpRkO8WV67K2S9wLWs6SNgPOBw4CDomIu2r2fQEnZDOzoTM5XdYRsZ50yVBT5ZUay+PITVZqLBLpbODmolDSDGCb0r73k8apZ5f2RdLWpJnSFxd1l/RANa5Un+WV9+4UV1fnz5Mur1oQEdd2PqSNucvazGwoDeQs655XaoyIVcCdHfZ9Bvhajns6v88Rudu4sID0YWBZqWwZcIik7YoCSfsBu9bE7Stpt1LcDOCNlTgkfRw4Fnh3RIw6blzmFrKZ2dApZlkPloh4RFKxUuMvgNtJLckD2fgyIyRdC+waEbNKxSeSFu04lzQ+uw+wGPhE6RpkgJNIreiLJH0GmEFa8OOSiLitFHcmKaEvyzdF2g74KPAd4CuluC8A7wUul7SY9AM+BfgRcG6pzh8kLVjyReCHkvYtvcbqiLi/28/HCdnMbCgN5CxraL5S4+ZUclREXJmXcP5b0kJUPyWt1PXhStwdeVWvM4CvAuuAf6CyPHNE/FjSAaSFPS4ltd4vB/6yWKUrxz0h6UDSss8XkCZzXQv8RWX1rfn5+Zj8KDufURbPckI2M7NJ03SlxoiY26H8MjasoNVt/xuB1zeI+x7wOw3iVgFd19zuVOemnJDNzIbOwF6HbF04IZuZDR0n5DZyQjYzG0pOyG3jy57MzMwGgFvIZmZDx13WbeSEbGY2lAbvOmTrzgnZzGzouIXcRk7IZmZDyQm5bTypy8zMbAC4hWxmNnTcZd1GTshmZkPJk7raxgnZzGzouIXcRk7IZmZDxwm5jTypy8zMbAC4hWxmNpTcQm4bJ2Qzs6HjLus2ckI2MxtKnmXdNh5DNjMzGwBuIZuZDR13WbeRE7KZ2VByQm4bJ2Qzs6HjFnIbOSGbmQ0dJ+Q28qQuMzOzAdAoIUt6haRPSbpZ0npJIWnGKPuckOO+VbNts7z9AUlPSrpT0u/1dghmZvZCz43zYZOtaQt5FnAEsBb45mjBknYDFgGPdAg5BTgJ+DQwH7gFuFjSmxvWx8zMOgrSdcjjedhkazqGfGNETAeQdCzwplHiPwdcCOxefQ9JOwLvB06PiI/l4uslzQJOB65sWCczM+vIrdy2adRCjojGH5ck/QHwWuCEDiHzgBcBSyvlS4G9JM1s+l5mZlanmNTlLus26eukLkkjwNnA/4uINR3CZgNPAfdVylfk5z37WSczM7M26PdlT2cC/w78fZeY7YFHIyIq5WtK283MrGe+7KmN+paQJf1v4B3Aa2uS7UahpN+WuvJur78QWAgwffouvVbTzGwT4YlZbdPPFvK5wHnAQ5KmlV5/8/z9LyPiKVJLeESSKol7JD/XdnVHxBJgCYCk1fvvryeAn/Wx/oNqB3ycw2JTOEbwcU6VXTd8ue5quGKHcb7eIB3bJqGfCXmP/Pjjmm1rgf8LnEMaK94KeCUbjyMXY8ffH+2NIuKlkm6NiDnjqnEL+DiHx6ZwjODjHAQRcfBU18HGrp8J+YCasnOAzYE/Z0PyvQp4Gng7cHIp9mjg7ohY2cc6mZmZtULjhCxpQf7ydfl5vqTVwOqIWB4RN9Ts8yiwRXlbRDwi6WzgBEm/AG4HjgQOBA7r6SjMzMxabiwt5Isr3382Py8H5o7xfRcBjwPHAS8D7gWOiIgrxvAaS8b4nm3l4xwem8Ixgo/TrCfqPiHazMzMJoPv9mRmZjYAWpWQJe0s6RJJ6yQ9JukySa29KFnSAkmXSnpQ0i8l3SvpNEnblmJm5Ltm1T2mdXv9QSFpbof6P1qJG5H0d5J+JukJSd+QtNdU1XssJN3Q5TxdlWNady6b3ulN0taSzpT0n/l3+WZJv1UTN5B3emtynJLmSFoi6Z4cs0rShXXL/ebjqzvPh0/WMVn79HulrgkjaRvgOtKym+8kLS5yKunGFHtHxBNTWb8evR9YBZwIPATsQ7oL1gGS3lBZQ/w0YFll/19MRiX76H3Av5W+f7b4QpJIxzeTNCt/LWk99OslvSYiHprMivbgT4FfqZS9HjiLF563Np3L4k5vt5Hu9NbpxjLnAYcAHwD+A/gz4GpJr4+IO0pxp5B+7xfl1zyKdKe3t0TEVN5YpslxHkVa+veTpMs3dwL+Grg1/47+qBJ/NenvuezePtbZhk1EtOJBmgD2HDCrVDaT9E/9+KmuX4/H9NKasneQPmwcmL+fkb8/dqrrO47jnJuP4aAuMYflmANKZduRFor55FQfQ4/HfR7pA+T2bT2XwGalr4/N9Z9RiXl1Ln93qWwLUvJZVirbMf88Tq7sfy1wVwuOs+7vdVfSklgfqpQ/ACyd6vPnR7sebeqyPhS4JSKeX0wk0jXL36all0tFxOqa4qIFudNk1mUAHAr8JCKuLwoiYh1wBS08v5JeDLwNuCI632hl4EWzO70dCjwDfLm037PAPwPzJG2Viwf2Tm9NjrPu7zUiHgRWs+n9vdoEaFNCng3cXVO+guG6Q9T++fkHlfLTJD2bx8+XtWVsteJCSc9J+rmkf6yM/3c7v7tIesnkVLFvfhfYFji/ZtswnMuy2cDKiFhfKV9BSsCzSnFDdac3SXuQWv7Vv1eAt+ax5qck3eLxYxtNa8aQSXeBWltTvoYN62C3mqSdgA8B34iIW3PxU6R1wq8hfRJ/FWnM+SZJvxkRdf8IBs064OOka9YfI42VnwjcLGmfiHiEdH4fqNm3aF2OkK5db4t3AI8AXyuVDcO5rNPtb7PYXjwPzZ3eJG0BfJ50Ls+rbL6C1Nu1EpgOvBf4iqQ/jIhqD4EZ0K6EDD3cJaotcgvwctKY+LuL8oj4TzZeH/ybedbuCtLEmKMns569iIjvAt8tFS2XdCPwHdJEr8X0eBewQSTp5cBBwCdy1y0wHOeyg6bnbmjOcfZp4A3AIRGx0QeSiPjz8veSvgLcQprQ54RstdrUZb2W+k/QI9R/Om8NSVuTZt3uBsyLUWYUR5rN+S3gNyahehMiIm4n3Tu7OIY1dD6/0K5zfDTpb6uuu3ojw3AuGf3crSk9j+QZ9d3iBp6k00i3gz0mIq4ZLT4iniOtdvgKSb820fWzdmpTQl5BGoOq2pMGd4gaVJK2BC4FfhN4c0R8r+mu1Lc22qR8DN3O76qIaFt39Z0RcWfD+LafyxXAzHxpYtmepBvJ3FeKK+70Vo2DlvwdS1oE/BVwXERcMJZd83Obz7VNoDYl5GXAvpJ2Kwryhftv5IXXdLaCpM2AC4HfBg6LiFsa7rcL6bj//wRWb0JJmgP8TzYcwzJgJ0n7l2J+BXgrLTq/+bhm06B1nONbfy5J52dL0qxy4Pnx1SOBayLdBx02vtNbWWvu9CbpfaT1DxZFxKfGsN8WpJ/Pqoh4eKLqZ+3WpjHkL5AmRlwuaTHpU+YpwI9IE2Xa6DOkP9IPA09I2re07aGIeEjSx0kfnG4mTR7ZnbRgxn8BH5nk+vZE0oWkyS23A4+SJnWdAPwYKP6pLSMd41JJH2DDwiACPjrZdR6Hd5DmAfxjdUNbz6VGv9PbHZK+DJyTe3xWAn9CWifg+eQbA36nt9GOU9JRpFvKXgVcV/l7fSwivp9f5/dJx3Ml6f/TdNJCKa8Dfn/ij8Raa6ovhB7LA9iF1L37GGllo3+hcvF+mx6kWcXR4XFSjjmGNFtzLekf/cOkf/a7T3X9x3CcJwB3kWZbP0P6J7UE+LVK3PbAF0ljietJC0a8eqrrP4bj3JKUaK/osL2V57LL7+gNpZgXk1Ylexh4ktTin1vzWpuTJvE9SJp1fhewYKqPsclxAn/f8GexL2lVwZ/m3/d1wDdI80Om/Dj9GNyH7/ZkZmY2ANo0hmxmZja0nJDNzMwGgBOymZnZAHBCNjMzGwBOyGZmZgPACdnMzGwAOCGbmZkNACdkMzOzAeCEbGZmNgD+G09KaBeIjht4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OraKpwz+EMK7BciuB09Kf4ziOs50hIoOJ0f5eBT5C9Ca5mBhO98AQwkv16gPXAu8GPkt8l/4E8FMROTSEsNCUm0MM73sB8DBwIjBPRGaFEH5s2nMG8B3gq8QJ/+3AFSIiIYRvm3IDgJ8QJ+OvAo8DuxFfFnrE/djfMx3HcfogvRCC8QyiZ8m+IYQlACLya+ApovT5jU7bJnIQcBJwWgjhunTs50Rj2YuIEQQRkd2Jk+wlIYRLU/X5IjIRuAT4cSrXn7hkeX0I4QJTbi9gjohcE0JQy5LPAAcD+2Va1A4ScrPwidbpQG74BKXKWKM4rTJOWKpizHeZgVJlqHZHhx1W5o16ImmIzo6anQ0/+EGRpwGO1DjIehUle5xCTTzsiCPKzM98BoAn93k3AFcmpdHc08siL7yg5kTqMmS9z1QxrY5B1lHnr1laxU5ZCqtWRXXy/fe3p3Rkkfd//6+aaUVXnN12m13knXxy/HxWsp16/VNRrz3h618vyqyeHyOZJtOxSmOqPZL6fZKJoNW2YAEAh5x1FgDj3v3WIu+Xv4xpvnsQ1DeK02OveQ2d4irk3qGXIkPNBh7QSRYghLBURH5JDKfb6USb6m4EbjR1N4nIDcB5IjIwhPAqcDQxdPjcrP5c4N9EZHwIYSlwKFEqzctdT4zjMB3QsL8fB+b15lKlr5c7juP0QXph95564XQnN1B3aQjh5ez4IuLEOtGUe5VaY3sth7lOsvjo0J6aciIyFhgD/F5ErhaRNSKyXkTuFZEp9BD+fukU1JNWcklWpVgojaDUs8V6vagB0Izpyb7g6qvLzG9GS6Blafcca/CkcqTaTu1v8to/+MH44ZJLALjijjJS2CUfi+kzzzySjjyc0qXmDCqOq82DfffXfXfUsmdXk6fRGbR8VcgKlXZfMXl6N+qgYyVobd9PAHjhheFFzmWXjU9pjHU8ZkyU0s87791FmY9/N9qc/M155wGwxmgF9BdHr2bdoCakcuMeipFRR33qU0XesWecAcDP7ovPwsZPzo3b6uGS7bajSVbHI0XkIfP9qhQ4SBlBdYChlZQBiDqjXl3N13R1CCEPUlRVjopz5uX2SunniMZPJwIDica6C9LacpeGXN3Fh7vjOI5TxYoQwtQuynQ7nK4p00jd7pTrrD0Wff94mbit68sA6YViCdEg63NdnKPb+ES7g1PPhUelWOgoydp4DCrJahADjfkAcMie6eXwvMsB2GzCB6pZoZ7K7uF6YEpHpxCDXHNNkfeVuVGCvWBvFblLl5hSQlTpUaVW6wS0t549SwH2rEkHDCjr5cEadjKC8F+TIFsVtGPjRl3vXZ6lUMqbmhpVAbqmGqXzZ56JO/R84hNvKkp84hPRo+7LX46xXj7/h0uKvLecHhemn03BLIxgWqxOr0zahClnn13k9fvd7wCYcc45AOyyS6kx0FgbVXE56uHSbe/TC+uCq+g8nG5lKF3DSqJbTVVdzdd0eLIcDl2UI7XH/oONyPJT6Bx+adXWIYRnRGQx8MYu2r1F+Bqt4zhOH6QX1mgXUa6NWiZTvsvVqzs+uQjldTdQrskuIqp2X1dRDnMdXYvN25OX+z1xXaczKbkZO2N2wCdax3GcPoau0fbwRHsbME1EJhTXFRkHHEatmqmzugOIkQS1bn/gBOCuZHEMcCdx4v1QVv9k4LFkcQwx6NGKTsqtBH4JkFx8/hP4PyJShFhJRlL7Etdtm44rbXZQqoxZ8qhPVS48ueETlKrUaSng5oH8usw892IAVs6LMYutSaAqVDXI0NShQ8vM734XgO+vPxaAU0zI4Y0bNYKUGjxZMx81WNL//X1TekBRYvjwaGQ0fXr8bmMsq/GWuiPZCEga1Urv16o89Xnqc7EuTs89F9XPy5bFdPHifYs8DeR0330xXbXKGm3pfhxPpFTVy3eYMlG9fMEFBwPwpS8dV+R897t3AXDSWT8CYPQppxR5D6Ud3zWilN3JY/+k3h+R/HsOufDCIm/naVGpr55CdhzUUyPrs9LoUVXPzlXI2x1XA2cDt4rIhUQpcQ7wDDFwBAAisjfwO2I0p4sAQggLReRG4PIUQGIp8DFiEIlisgwh/FlELgPOF5G1xH/6E4AZRBciLbdRRL5ADFDxR2LAihnEoEifzKI9fRH4X+A/ReTrxHBuXyRGh/pWsx6OxYe24zhOH6Sn1ZUhhJdEZAYxBOP1REH6XmIIRvvupm69eZNOJQaZuJjoYPAoMDOE8EhW7gLiu+CnKEMwfiCEcHvWnitFJBADUnyWGKH07BDCFVm5x1O7/5nox7uR6GN7TAjBGkk0DeloNd36HHzw1HDffQ91XdDpQC7JvmK8UFSSVWnsWeOFkkuydvcWlQwnr/7v+OFLXyryckMc+1qpAScmvuc9Me+mUtuksX/nz/9FOmICEhe2Dqr5mWTy4k48Q4dGCe+YY2rPB6XkPWFkkqmXGBe95enc+hCqNmqt59uiYpn1cVIxTkXiPfcs89LuQL9fEaVdE1OCO1Ms5ltuienatfr7Y7Vb+mS1nebcxL1pjzji/9ScD6DtuBgMY8nt8bfqSVNLjdL0qRYGaVD07ePD3gKUkjh0HBtWGzA62ZvpI7Bxke2etuCS7ZYyffpUHnnkIQE4UKSMTbiFjIGHG7A6dhrAh7TjOE4fo5ciQzkN4hPtDooKZXZnltxlw7qo5NLKNLMBYiHJprW8ZfPnF3kqb6nO6G9MG0ZeHNdvbzsghiZ970Ab7vDfU/obOqLrrTFs4PjxpT+RLkOqJHvg6GTVb3a1YcGymOoN2oXGqviTSndErXr17XnSA52QfIcm6OIwcNLlcfH41+dGD4VbbolS+ne/e3BRZulS3dtWNzx5gpIY3W7+/GhwOXDgR4qcW2+N2oPZh3wZgGFmHVblZl1P35S0EgDj0n1NTn23adpbirx83daOn/zW7SPQfWxdkm0ubunaOnhfOI7jOE4P4u+QjuM4fQzf+L21cGOoHYRcI6p2PbVuKDGt2rVFbXvelIISHbKzdeE5F4BlFRGI1LBGNc2Dbyw26+AfH/sAAHPmqHrYbPxeGDypcU+5u8zQoW8HIAUuwnitMGFTMutRVfGyZTGtUg8r1nBJwz2phc7AgWWe6jgbwQaKVv28Wp791ez+s96qy6lUKxe+RskP6ff9X18USV5QXB4Db7F27b3mZKpOzp8lQHQD+sIXohr+ov3/o8h5+YQTgDIulTVgUwOpcWogdemlRd7/vBJdfx5OwbnsrWlULTWKqnKb0m6oUi87XWONoaaIhHu7qtAFI90Yqmn4UHYcx+ljuETbWvhE24epF5SiKrDCCy/UHrMShQZyKGIXp0AU0NGFx8YsVlOZQffG9+vT5s4o8q67bkH6pAEYjCsNGkUiuqEcf3wZj1gl2beMTm2xPjEpdm+NWw7USq155Anra6JBM7S8rZeLWFVRF6q+q2inaQoWUdNO7RAreWtHqHSe7m3CPvsURS46PeoKZs6MYWMvv/ztRd68eRoYQ92mrGFZNDabM2cWAM+e+oEi59/ujeLnW94ez/Xfppb2cf/U56MvLsfBIUm6fWlSbMtjJjqJ3ooqCKoeqyoT9Lt9hC7ddh+faFsH7wvHcRzH6UH8PXEHIXfnqXLB+MtfassaT5NyP9m0C4+GVISOLjzG86eQZD9wZZRk5837T5N7V1bz8CJnwIC4TjhnTvz+6U+XtdoWpHo3PdbxJlT0Uak1T+1nlWht9I18odCKXvk1qqhSI+SBLuziZS7JWhWDftZUy1hXpbSg/pb94469U+e+o8h605uiFuALX/g4ABs3luvj5QrszQBcd12pAVi3Lu53+x+p76a9vZSSNT6F9vlgMw5GpAXYGWmf4NWrS92GLpXrGLNBKnLlgbv7bD2uOm4tfCg7juP0QXyibR18onUcx+mD+ETbOvhE2wepCm6k2spcZWy1rlpGNauHHWZOevXVQLlxu92FR90/NOqTdeFR46dSZXwXJeouE1WT++zzziInaR85dlraX+YGE+tY9ZDaYGvMtNtuMVV/Ek2t6lhVxfUMnur5mHRXdZx3SD1DqSpjqLyz1GrNHksGYW1mC53P/W2MdbzPPnsBcN55JxR5Tz2lG9qrE0jZL6oNPm1IVCH/m+nPg5Prz/+m73YcTE9jo9/r4tahhx33iQ63kt8SdOyGLdXaO06r4sPWcRynj+FrtK2FT7R9GBszIQ9QoXvNWgFKJYj99ovpqCf+q8z85jcBUDOcNWVOEcRAYxdrIAqwLjwqMdmgD1GCfeMbo0SrQRcA3josBcS4KdW3IpCiUQ9s9IPOJNl6Bk9GTNpc5+epEETrbN6jzk01klf/tpoS/djc8aRVhlKdGXRZ6TwPTG13IkqdfezhhwMw8poDi6xzzonP/le/0rb9xLQw9tV110VNwejRZX9edHF0MXp9io1sg5Po2Dg4jZVRB5R7AO+3Xww4osEs7LjTsZgrGnYyUfFdku0+PtG2Dj58Hcdx+hgu0bYWPtH2IXLhyEb6y71HXnyxtiyU7jyH7JN2vDn7yiJvWQqWoCuARoYs9pPVXXjmvNcGRtBgFPpvX7qKqCT77W+n68r/ltXuSY4kKqnZdVjdz3XUqNrv0FHqq1iHVam1EQm13taz9agfbMH+BCYJeFBM+9mFSf2cuyFZiVafi+bpfrpQSrv3xPXtt04vpeVvfzuuqH/sY7EPfvUrG2hRtQ+x7+bM2bXImXpr7OPZ7/kfAFbfXu69rWNDx8q4K8vxc8i3ovvR88/HnYis4K1jUWOF5JItdOwHl3C7xifa1sH7wnEcx3F6EH8v7IPo2qxd7uss9oFdupyiUQ9visH9N/zgB0Xe71OqK3pTVfwANtwUQ/yV+8nazQE0EMLhQK1lsa7JFpLsggUdG6zSm12HzSPT63qsvaEkDnWQXivYUqm1Ueqdv2O4wfLdt/+gwfFILpVXrTdrBAgr6uXrt+b5HnJ4TC+/PEq2p59e9stTT+kKvJYv+/O9743hH199Nfb51JHtRd49KbSkjpW9zPhpS+vEU2aeWdM06KhtqYojkodndLpGRLbuBNvhhjOtig9bx3GcvobI1r+VWGtKZ6vwidZxHKcv4hNty+AT7XaOVUvmRlDWhSJXz+n/oI1nPHZ92sv1uuuAWtcNVQoXDiK6ESowc6Z++veUGoOctAuPxi7WQBRgXHjU8MnG+VWV8WtfG9MxY8o8VR1XuO5sTq409TbTaSUaa1dUJxeqZPsDmkd3sHnWPwZqn+998Zm/9chY75JLStefE0+MfbVxYwpMXDjugPbxzJkfBeBnZhxMev/7AdCdiu34OTCNqbFJhTxuXLmn7uLFtc3Tbq1yPat6Xq5OdlodH6KO4zh9jWaojp2m4T3Rh8iNoKqi+alEoELgQQeZE1wTY++tTuH8jL0K6lAy+qijAPj++mOLvPnzf5E+qVuPcbdJ+8nqLjxFSEXoGIzCuq2oJDt+fEyrglKowZMJCFEV5XB7pbN76G/ut592ZHdDRWYGUsceVxqUzZmjIRtnpyPPm4qxj7XPv396OQ5OSmPj6bRXrR0/Y9OYGpbiOx50+gVFXtqAqIPWpSpqphtFNYhPtC1Fj7r3iMidIhJE5OLs+HARuUZEVojISyJyj4gc0Nl5HMdxnG6gE+3W/DV0GRkjIjeJyIsiskZEfiQiYxusO0hEviYiy0XkFRG5X0TeWlGun4icLyLLRGS9iDwqIu/v5JxniMhiEXlVRJ4QkbO6aMMEEXk5zVMTG7rpLaDHXnlE5IPAQRXHBbgNGA98ElgFnA/MF5EpIYRne6pNfYkqaSdfm7VLcla6hXKZc9RfHi8PJrcedc+wl9hfP1xzDQCn1AzJe6il/F85/vh4oWI/Wbs5QB6MwkqtuiZbx4WnynWnL0iynVG9PpkCXQxpYKMDG8FE1R/aB/eU/fLpT38YgIcfjn03b5797bs5pbH8Kaf8nyLnpCVxbOy/995AuXctlGPq4DTGRr3vfUXe6NGTgXKttmr8VgWxyG/PBThDL0i0IjIY+BnwKvARIAAXE3/LDwwhvFSvPnAt8G7gs8Qh8gngpyJyaAjBGgbMAc4FLgAeBk4E5onIrBDCj017zgC+A3yVOEDfDlwhIhJC+HYnbfDub0sAACAASURBVLgCeBHYuZP8ptAjPSEiw4DLgE8D38+yZwPTgRkhhPmp/P3AUuAfgL/riTY5juM4TeUMYAKwbwhhCYCI/Bp4Cvgo8I3OKorIQcBJwGkhhOvSsZ8Di4CLSGtOIrI7cZK9JIRwaao+P0mflwA/TuX6A18Grg8hXGDK7QXMEZFrQgg1ZtQichLwRuLEfNnWPIiu6CnV8b8Ai0IIP6jImw38SSdZgBDCi8DtwHt7qD2O4zg7Fj2vOp4NPKCTLEAIYSnwS7r+LZ8NbASKPRhDCJuAG4CjRWRgOnw0MU7O3Kz+XOAAEUlGHBwK7FZR7npgV6JwVyAiw4kvAucCq+lhmi7Rish04MNUqI0T+1G7jaWyCPiwiAwJIayryHcqqFKbvvJKTFOgHqA0kFLV2yTdcuemO4syaxZGbY3uk2OUtbR/8IMAfGVuXH7ZuNFGf1J3nrjMPnRoGc/4nHNi2rYgxc/VvWQtGqtY9dn2s6qMrQtPpjLuy+riKqpVyPGZ9LPhlOpV1M/aH6ZftK/OOecdANx5Z9mfa9fqUkM0irLj4CtzjwPg82msjDSRoXRM6Rhrv7Mcd5OOm1zTBB2rdvzqmK7qc1cZV9A7xlD7AbdWHF8EHN9A3aUhhJcr6rYBE9Pn/Yiq6SUV5QAmE7Whac+xDnOLLTffHP8XYHEI4XoROaWLtm41Te0JERlA1JFfGkJ4opNiI4BlFcdTJHuGAx0mWhE5EzgTYMyYhtbaHcdxdkx6Z6IdQbSxyVlJ/B3f0rqar+nqEDrEg6wqR8U583JWGHxjF21sGs3uic8RF5W/XKeMEBfNq453SgjhKuAqgIMPnupBOBNVe86+9FJtalEBceygP8cPRrJ4OqUqLNTYO6VIExfsrRd8xGTqzjrRaEalWIC3jE5nvemx2kZCaeiku/BYY6hs9x27T+yOKslW0XFXm/I5FTGSq+JFq4iolkc2+PBjsa/eclxUe5xzTvliO2eOGkapeVM5Di64IGoLP/+HOFYmGon2gZTqGNvfjLuxJ58MwMiRuwOlu48dv/pZh8/AgWWeS7QVNGeiHSkiD5nvV6XfYUu3f8tNmUbqdqdcZ+0pC4m0EYXBy0IIj9cr20yaNkSTSfcFwOnAQKNjJ30fBqwlvmGMqDiFvgFVveU4juM4vcuKEMLUOvmr6Py3vKvf8ZVAlWpyuMnXdHiyHA5dlCO1x4amG5Hln5OO/WuakwAGp3SoiAwNIZhFi+bQzHfBCcAgOi5GQ1xwPpcoqi8C3lFRZjLwtK/P1qfenrN5oAorPHYIuZhC8JGCC0C5jqb7sYw44ogi74o79H/itqw0wJsAGD8+LsufcorJSoEKKveVVQlL12irXHgqQiq6JNuR+q4/ad3WPt9c/WEXRLWvUt+dckr5ezh3buzjpUt1kf9hc8WfAHDFHTHQxcfN+GmfH5fHilFjxp2OxXHjYvALFa7t+M3HtF2K9r1qK+gd1bGuoeZMBrqSFhcB7xORwdk67WRgA+Wa7CJgIPA6atdpJ6f0cVOO1J7ldcpNJm6n/ceKNj0CPIrGjW0izbQ6XggcUfEHcfI9gvigbgNeKyJv04oi0g68h/JX3HEcx9kaet7q+DZgmohM0AMiMg44jK5/y28DBmCMppKLzgnAXSGEV9PhO4kT74ey+icDjyUrZ4D7ie9xVeVWEi2hIboE5XPUP5uyp3fR7i2iaa88IYTVlBtYFqQ9Ef8QQliQvt9GfChzReSzlAErhGgJ5jiO42wNvSPRXg2cDdwqIhcS10fnAM8Q10FTU2Rv4HfARSGEiwBCCAtF5Ebg8mREuxT4GDGQUTFZhhD+LCKXAeeLyFqi1HkCMAPjQhRC2CgiXyAGqPgjMWDFDOA04JMhhA2p3GJq97vQlwOA/7GuSs2k15UsIYTNIjILuJQYlWMQceI9IoTwTG+3Z3vHqs3UviV3hYDSHmaiWjjNjeo6G4ZLNXXFvirGqumSs/WTqgptIJU3A6XKeMKmJ8usp56Kqf7T77ZbmaeqzAZ24elJdfG2VEU3+7ewIRUylM9c+8CGYXo1CROp7yZMKfvzlFPi6PjiF9+cjlgNYRwbl1ySVMffKsfPXkl1rGey4250Uh1PPDKqjpMtVk2T6o1tZ9sQQnhJRGYQgz1cTxSW7gXOyZYABdiJjhrUU4mGsxcTw6k/CswMITySlbuA6InyKaLa9wngAyGE27P2XCkiAfgMMdrU08DZIYQrtvZet5Yen2hDCB0s0EIIK4lvGqf19PUdx3F2OHppU4EQwtNAZdxhU2YZFZbIIYRXgL9Pf/Xq/5U4GV9cr1wq+x2MNN0IIYTvAt/tTp3u4mYD2yn5Tj1Q2rWoQGJRAaZ9dXKwuP9+AP5syujr5oQBAwB4ctLsIu+ZZ/QlU2sUyzIMHXowAMcckw4sNGFKtVG5BGU/Z6480DxJtpmSTx5TtypoQnfj7jbSvi39vczP3WYDBdeTaPWzpqY/jzkmSrSXXhr7fO3ae80VosuPjhU7fl6fxtSSNHDtuBudxqKOzWHDxnZoko7p3M0HSlcfN4Iy+O49LYX3hOM4Tl/DJ9qWwntiO0XdeqzUom/5mtr/M40JwW/SnrEPx/W0Neac6tbDcTGU3pVX2ivq2uyGlO5b5Kgke+Do5Kp257KODa6SaOsEpegO3ZVau1N+48YtO2a/J2GuIap+G+u1tzu/pfb5dghmYftF3XtUpDThGQ88MvbxMcdE98Trry/HQWljEsfKlVceXOR8I42p9hTEwo47HYs6NkeNihLts2YhNx/b9plYFzfH4BNty9Cj+9E6juM4zo6Ov/I4juP0NVx13FJ4T2wH1IuKZI1CcrWa/T/TfdS5Jxq2/DnpNk11ir1zTjwRgLk1rtvqF64K5gOKnJkz0wc1mrG7zOcqSk2hw27e9e6zUXVvZ+Wq1L31aKY6Us+1005dl21E5Wz7tRG1clWZwjBK+8D2S26cZvsz9fHMmTMAuP76chyUm6PEsTLXxIj7xjVxTOmOPtZZUcfi7uncY059NwCPPlqW0XvIVciWatemjsd2CHyibSm8JxzHcfoaPtG2FN4T2yn69m4lIP2seVZI2WuPzfHDE3H3wqqdjnVvl82zolvGCy9YuUNjhO8NwPDh44ucadPShwXLahtgG1ERlCI3gqqSSOpJbFV5nUmurWAw05NtqGdEVe2OlPavzSVb6NhXK0xc62QYNe3w+NWOg1Wr1OLuD0Dt+NExpWPMjiwdi7unsaljdciQ0oREm6D9a/vZg1dU4BNtS+HGUI7jOI7Tg/grz3aKvsXb4BR5oAorpBS+EoujC4a6V7TZ8mkh97Y79IgNr6duPXEld/r0MmfCyHQ2K/nkjcjWY4HijbueJNsdqRUakxrrrZXWc8XpjoBQT8pqtP3dkYD1nI22X9vXpgdtv+R9Zvs1fdY+nz69cArj9tt1lT+F3TTj5447YuzP2WmMtT1TRlstXH3S2NSxOmRIuWuQNkHHuB3rLtFW4BJtS+E94TiO0xfxibZl8J5wHMfpa7hE21J4T2xn5AZP9VxialTHupt2MmZR74hBtsLUqQAsWKAH7B4rqm+N6sEpdmvkJcm0Rd1AqmLqVqiOix16KqL9VBl75VSpVnO1sKpS7W9O/vtTldePzR0btaWkk1YZfdVzY+rsGdS77+66MfUflHb2qVIdV8SgLvo49fmUKWX0p1J1rJ1Qjh8dU7PTGBtkVMeFp45GoEpj1aqOlXrjXu/d5xen1fAh6TiO09dwibal8J7YTqn3Zq//X7vsYiokKWHzCy8ApWnTCHvSJKY+cKcesMZNaja1JwCTJpms5ctrG1DhwtMhrbgHey/1pDiV3jS1BkB677mNTyGhQsfIHusrHmIzN8JNjemX0jbzA9iWN3iIkfiTBJw3t7vPqZ6UWxhFWam1Tp8V8Y9Tn9eMgzQ2yrFSjp8HHkgfZsYxNvjmm4u8FCG7GJv90ljdZVRRpIOLUj2tgINPtC2G94TjOE5fwyfalsJ7YjsjX5+r9zY/dKj58miUEjSYnlYbbCvsvz8Aiy/XA3aPFRWPo9QybpzJWpqFv7D/4HXce/K12XqSV4VXUAepFaDfpiSrqxi4os4CcDOl1i0lvxnz7FQCHpxJlrq2Dd2Tdqueb6VEm/dZ1Q92kmzHjbcHVaLVsVKOH/Xc4dw4xuy4071pdWy2J4l26MSOl83bbWmFoCQthU+0LYMHrHAcx3GcHsRfeRzHcfoarjpuKbwntlMaMYaqce9Jqr4N1FLj3pP0watWvZQOWF1jVAcOGBAjAe2xh8l67CVqGDjQXGBQTaPs5uP1VMa5W47VbLb1T4ZNqjddXWcLo3rq4aqTN+L70wjd9eGp2o5Gr6d5alRl2luolZMR1YZN5fPNH0VVXGy9RM2m8Plzsf2pvBT73I4DHRsbN2r7yiWFYkylMVYz7hLF2Exj1Y5fN4bqJj7RthTeE47jOH0Nn2hbCu+JPkiFXU0RaEClBnV2sbGOS/FEjVis/LszACNHxm92Z6AOIunOO5efM0OeKkmkKqiEVusgvQKsXld7gnrSYJWLSnasSgp85ZWY/tW2t8KuqrPL2ntRNxt9LHWl83obDFeVyTQGbUYMbMukXFutnsDflj8z259K6nM7DnRsLF+u5f9sKqQxlcaYHXc6FovRlsZqlTLBpdcG8Ym2pXBjKMdxHMfpQfyVZzugu7vbKFZyUnEmL14j0RbiyZ9Sav0lolhWtQlP4VdRJc5VitcV58i+91v/cvywrkKKy2+6SlpNDX15U7zDtWvLIi+mOAoaTVBTe5lcmIRScK/nRlIviEaVcK17rg4ZEh1eXvOa0vFlaOqOwf031Da0UdE0XUgl1P5DynNXKQE6NLhef6aHUOUVVIZgtA8qrdEO2yu2qeKyRctT4/LxUVO2wSXwHVqo64WbF5ExwGXAUYAA9wDnhBCebqDuIGAOcDIwDFgIfC6E8F9ZuX7A54CPErc0fgK4KITww4pzngF8BhgPLAMuCyFcafLbgXOAmcC+xMH6OPAvIYRbunPv3cElWsdxnL6Gqo635q/LS8hg4GfAJOAjwN8C+wDzRWSXenUT1wJnAP8IzAKWAz8VkSlZuTnAl4BvAe8EHgDmici7svacAXwH+CFxIp0HXCEiHzPFxgIfB35OnOBPAJ4EbhaRTzTQ5i1iR37fcxzH6Zv0zhrtGcAEYN8QwpJ4Wfk1cUPijwLf6Lx5chBwEnBaCOG6dOznwCLgImB2OrY7cC5wSQjh0lR9vohMBC4BfpzK9Qe+DFwfQrjAlNsLmCMi14QQNgJLgQkhhJdNc36aJPPPAf9vax5IZ/hE65QU/5hVutGo/FDVaOX/sB6s2lk96fPaBpUxh9v61+YVRk7QUXdbZSmVVN0bjCJSNwhfnTYr0tC8q03wKlUj6+bhve0qUqWJVQ8aG81LNfnDhrWlNEamVqMjgDY1IdIbtDeQqZr7DSr1xYPrRX1anz0E259Z+Sqjr2pFWba84PQFZgMP6CQLEEJYKiK/BN5LnYk21d0I3GjqbhKRG4DzRGRgCOFV4GjiSsPcrP5c4N9EZHwIYSlwKLBbRbnrgVOB6cD8EELmi1jwEPC2une7Fbjq2HEcp6/RC6pjYD/gsYrji4DJDdRdmkmWWrcNmGjKvQosqSiHuc5+Kc3bk5frjLcCi7sos8X466VTUkhDFRJpcsJQKdAa07RVSbD5OetZ31RZHil53F1gzfoo4a1I252mTV8AePHFmOZ2Q/XiVVQFRqgyXKonsCtqKGWvV8/ASo/pc9UUSiE1s+/iNa8py+y2W3wWI0fuDkD7IOOSlT+EKiOqKoujeg9NSQ/BnrJs++YOxYsx5f45vUPvqI5HAKsqjq8Ehm9FXc3XdHUIITRQjopz5uU6ICJnAtOIa7Y9gk+0juM4fZGtn2hHishD5vtVIYSrsjL5BAjR+rgrpMG63SnXWXs6b4TI4cC/Etd2v9edut3BJ9rtgKr/lzpeMwU1QqS6eGRlauSLYiGz8wB5VS4x7XlAAyuWacFcPIOOja/wFVH3nOeeLbNUgs2lV+gYO0OlQBtYoVz77JjXPmRzbXvtQ1yXBcqookpMztaU16wrV2zyNWS7lqyfNXjGqlW1zYDyGegzUQkXYI894kv84CEbOlbU+6q6pzzP9qeS+tyesvycB/qEYkylm6p6gsVoSM+rnhKkXmRMXwamWRLtihDC1Dr5q6iWFIdTLa1aVhItgKvqar6mw0VEMqm2qhypPctNuRFZfoGIvBm4jWg5/f910d6twtdoHcdxnC1hEeXaqGUy0Te1q7rjk4tQXncD5ZrsImAg8LqKcpjr6Fps3p68HAAicgDwU6Lv7vuTRXKP4ROt4zhOX6N3jKFuA6aJyITysjIOOCzldVV3AHC8qduf6Nd6V7I4BriTOPF+KKt/MvBYsjgGuB9Y0Um5lcAvzXX2Ae4Gfg/MCiG80kVbt5oeUbIkR+LzgIOJlhFPAv8QQvhZyh8OfA04hhhE937g0yGE3/REe3Y0KqNGJVWmKhb1DatGO5c23C4N/mz8nmgV/8IL0dpn9erSImivfJeZKv1npj61bdJ085D2Dk15LnPTgY7aTqtx1nDNeTp4k9nE/tmkh16WfIHUJ8heSC9iQ0rllk5VIYiqLKbUZyfdZ7t5Bu3JV2es+uxMGV3kvdw/Po9GnoU++peM84KW22OPtpSWWr5+69ZUn8BWrNJnZzsJ2SwdG0UUqJrxk/r2uSio2HHXLy+dnpPv0LMV9I4x1NXA2cCtInIhcX10DvAMMXBEaorsDfyOGM3pIoAQwkIRuRG4XEQGEP1bP0aM6FRMliGEP4vIZcD5IrIWeIQ4Gc8guhBpuY0i8gVigIo/EiNUzQBOAz4ZQtiQ2rI7cZJtA74ITBapWe79lZnkm0bTe0JEPkqM4PEt4kPvB0wBBqd8Ib7NjAc+SdTln090Lp4SQni26ryO4zhOg/TCRBtCeElEZhBDMF5PNEi6lxiC0azeI0Sz81yDeioxyMTFxBCMjwIzQwiPZOUuANYBn6IMwfiBEMLtWXuuFJFADMH4WeBp4OwQwhWm2GRg7/T5jorb0tCNTaWpPZHUBpcDnw0hXG6yfmo+zyY6D88IIcxP9e4nvtH8A/B3zWxTX6VeGFp9+7eGKipJ5mZONRLtsmUADB16MABr15qAvah25S8APPfc7kXOZBUpqyRalRarrJLU4ClJbs8u6VitylZHT6VC4OhSCGRE/zU198L8Z2L6/PNloeXJVkLFvyojoZ4Qoar2v9Wb2SVFrNtzzyJr8KhRAEwYMyam+48DYOWmUvJX4VyflxVM82P2NkePjucYrDZbVVZNRfSPCok23UOhBAF0bJRjpRw/Q4emNqd+qbJzKp5KGiO2SXncki3dJniHoZd270kxjd/fRZllVFgiJ5Xt36e/evX/SpyML26gPd/BSNMV+Quq2tLTNHuN9jSiqvjKOmVmA3/SSRYghPAicDtGFeA4juM4fYFmv/JMJ0bXODHpy/em3EFBY0jWiybyYREZkqkdHEMeLKHeS6tdXtTFSjXx02o1YVl++1sAJk2KXx980Lio8HxNaiVaBqWzVYmf67KuNBLtmrRu9+yy+N0ulWaCU03YQZVg29en/U4XG1F4abKNUAk2X3O1VLniJCmy2INVYyPaY/Ueut77K8a+Qt1j9JhdSNXyf/lLbQqlVP7EEzVtGzF+fFFkxMS4nr5mXOyPZ83CSz2tgH5WybZ9mJEx9SS5axZ0WKOtlWh1jOj9jSpydEzpGLPjTp9mYX6axmrN+M2o6oJ6gUR2SFzUbxma3RN7pb+vAZ8nLoAfD3xLRPqHEL5J9GtaVlFX/ZyGE/XxjuM4zpbgG7+3FM3uiX7AUOCUEMKP0rGfpbXb80XkX2k80kdtZgyTdSbAmDFVfs47FvXWqqosUFVK6JfStiSK1Ei0i6Ir2pveFL8++OCuJlNFpShFqrAFwLQkpVYuDifyhVUKA9QagUnRYq99bUxH7WyshhenkKTaCCtW5cH1VSIdVUpXhVSt66FWXFYz5VRGA2ZAdSTDnKrQjcV+sto2214VO3XduMpiO5fKrdSbpM/2ceMAmFyIjvD8rlFa/eMfa6vbU+qYaZ9onoGV8POKSno+yx6wB5OGAXVJLMePjikdY3bcFZbwman4SxVrtPpcfY22C3yibSmavUarvwB3Z8fvIuqR9iRKrp1FE4FOIoqEEK4KIUwNIUwdOXK3ZrTVcRzHcXqcZr/yLCIGZ85RaXVzKvOOijKTgad9fdZxHGcrcYm2pWh2T9xMjBl5NHCTOX408GwI4TkRuQ04VUTeFkL4OYCItAPvAb7f5Pb0OQYkj4lG3BxqNH4Tk1ouqRgHJ/XlGlvhoRg//PA58euVVxq/GR5NaVQPqvYWgGPSuVWvZ61u1EKlIs5vbvBkPX9SM+m35MnUtqfKzCpdqJJHqlDLKT0hsKZ/VKhUaZ5XJDO93JDItreRUMe1Hjy1O+xoaps5LkWUbd9kQrJqA9U4SRtqG6V5qgs2WxmN2mcfAHab8vqa09niek+2X4qAGlWbD+vn1PCacVCojpVy/Bx+ePrwhTjGbDTkwllJ+yide91COlBv3A8Y0LH8DotPtC1Fs3vix8B84DsiMpIY4uo4ogR7aipzGzES1FwR+SxlwAoB/qXJ7XEcx9kx8Ym2ZWhqT4QQgogcA3wV+Cfiuuti4EMhhO+nMptFZBZwKXAF0U/9fuCIEMIzzWxPX0b/h6z3if0MtYLP5tHRgKxfknLaH4hWLHZLi/VPRanxne/UIweY3AUpjaLeQiNtbJ4U43b3U8sla6yj4Qcr9j1VwUltb4pgEwALk6WUimHW90dRA6cU0AEAdXcZshcAS9JpnjJWA+r5owLiKmMVkO+324y4FbmUa/tpeLJMUMl21KjSfGGffeLniYfHACLt6/4UM5YYd6Zn0r+MWr6ptA/FzfRLA2HCxIlF1sphUY6sUgoUDc1CRwKwazRw0j5fWCN1ah+l4Btm/OiYWn9iHGP2sRYSbRqbOlbX3dexafrs7DP0+aQCl2hbiqb3RAhhDfCJ9NdZmZXE4BanNfv6juM4jtNK+CvPdkrVulS+flu1lDd2//2B0ux7mTmnLlWO+8V/ArDnnu8u8pYv19CAUer8zW9K36EFC6IEM2PKlHhAAyxAKR0lEbG9f+nY0a4eJSqt2kXEfJG0ygUnSWjPh3LNUy+tQp9KrVYgzgM42Bd/lZRUiKvaPreReBVV27vqXrm6N0FV++wj+N3vYlrebpTS9913r6LMqElpXTS/YShvVE9qBsSItB46wj7XvMF68zbG5b77ArBgQfxqx0G54h/Hyp577lvktKcxtazj1UoXhDQ283gZ0HG823HvglsFLtG2FN4TjuM4fQ2faFsK7wnHcZy+hk+0LYX3xHZAvf8Xq9rMo+bYCEaF6jipd0ekwoNMIXXOGPe97wFw+uml6njOnMnpk+5gVW4dPG9edJ2e8c2j4gGrG1Udau6GYvPUGsmGstKbULWlMeR5eWQ0lvlNaoKqWKG0DVJ7rCr1sKpidcMcNUiCDlvk1tgBVRmg5agxVVW45zyFjrdetftO7rlj4xm/7nVRbX7AlJgOXvF0mbkkC71l1coaSFhv3j4gbaAeM8+eo2Ifz/uUHrBbSGvjo/HW6aebrDSmdIxZ0zgdi6Sxqfdnn0UecavCtq4h1f4OhT+IlqHZkaEcx3EcxzH4K892SlUsgVyitVJVIcxMTwZLhx4KQPv8YrfCQtrY/IMfAHDeS2X8kDlzNOCXSjCPFnnXXhvzjjoqBmY4dv8y3i4PPhjTKvccRRtsI1aoJJti9z69utyD9bEFMc33YoVSCsq3v7WnVvuf5KlSI9G+5jUxrfJK6rfJhlmg9gFn0sPm/h1jJKsQ+eKLZTmVaFUCt/eShzpWqdcaTOXhj/ffv4wDPnZqummNKmFFYfVxsu5AOSryv/nNxaEf3RHv69pr9cijpoJaKMXxcN55Zc7mXeKYUnMps/dTMRZVon0uufVUPd6qWMe+a08FrjpuKbwnHMdx+ho+0bYU3hPbKereULVGW7V+pZKSusKMmj4dgJFGotXVPd0s+MArv1HkzZz59wDceae6gzxe5G3c+BMArr46RiU48sbXF3ntJIlWpSq78KZipobes64mydXjyWcH11SHUjBTCdHer55C12Hz7/ZY+5DN8UNVnMUVWxexwq7JDE4/eINTQ0ftYRo8MYreGgLRSrS5609VBEaViCvdiiZFLcDr07OsXABW8diunesDTVvurNmj7M+r09qs9rkdBxDdeWbOjO49g834+bW2KaU1TkVpLOrYrFJ+1Fuj9dCLFfhE21L4Gq3jOI7j9CD+yuM4jtPXcIm2pfCe2M6pMoZSQyCbpypGjZw06pBDADAa1YLfp/TAOXOKY+ffqqpjdfW419S4K+VFVeM995SmLsfuvHP8oHpPq6LMXXdMBKI/rY4q46pQx3pfum+7NXTS8Meapyrjtk1mq3FtwwqjSlVyVXEzfqzyHePtOdONtafOa9+jvJnRo+Mz0Eene8OrHRN03IXHPid9dkOGxPPsZSM8qeuPVrCGUvpAU9/dc0+ZdeedajJ3V0pNPaI72Pnnp6/vLcePjim985pxl8aijk0dqzp04j3EtMoYyukEf0gtg/eE4zhOX8Ml2pbCe2I7I//fsa4NuaGILauBFFTKeeus6FLRz7huDEmuOGkHWB4z0udb+/93+qRuPt8xrdDdZKKBzC23fKTIOfbcJK3mwSmgFDc1AoQRTVc/V1tNPU2glHSqDJ308+BNyZFkRbIcsoZA9aTW/OHVi4xQRZXxVL4VkC2jn9d1bGdbuvbYYVGcGzkyGjfttltZPTeYeuWVjqfWbtzLSMvFM6/qFxUfk6bhlkvtzagRlPZ5m8mLY0PHih0/KgerWZUdd+res+yOiN9KvwAAIABJREFU+FXHqrpYQcexbce9B6qowCfalsKNoRzHcZwtQkTGiMhNIvKiiKwRkR+JyNiua4KIDBKRr4nIchF5RUTuF5G3VpTrJyLni8gyEVkvIo+KyPs7OecZIrJYRF4VkSdE5KxOyh0jIr9K5/uDiFwoIj3mke2vPH2IRsLUqZDx/Ma4Z8qoadOKvJFJolWHDbPrKftffjkA73vffwBw881mva9YgYt73M6bV0q0l19+IAAjdB3WrtE2cC8q5GpwCSgDTKhEO2KICSSh58+36Kk6eZXonx8zeZu78V7aj83ll1ySrZKu83Vc6CDlDh4S0wmjS8l02LAoUapEawVTjYRZNQ46YMXH1FcrR8e+mzfPFnwgq1iOg/e9LwUVSWPFjh/thcKtx4w7HYv50GjUdc2poBckWhEZDPwMeBX4CBCAi4H5InJgCOGlevWBa4kL+58l/oh8AvipiBwaQrA7Hc8BzgUuAB4GTgTmicisEMKPTXvOIKravgrcA7wduEJEJITwbVPuaOCH6fp/D7wR+AowFPjcljyLrvCJ1nEcp6/RO6rjM4AJwL4hhCXxsvJr4Cngo8A3OqsoIgcBJwGnhRCuS8d+DiwCLgJmp2O7EyfZS0IIuogxX0QmApcAP07l+gNfBq4PIVxgyu0FzBGRa0IIaaNKLgHuCyGcacoNAS4UkctCCCYoeHNw1bHjOE4fZDP9tuqvAWYDD+gkCxBCWAr8EnhvA3U3AjeaupuAG4CjRUS37jiaaAgwN6s/FzhARMan74cCu1WUux7YFZgOUdUNTOmk3ADgnV20e4twiXY7pyoqTpUdT277orFxR+1bbs6tNkW6YY0JQAS33ALA6THh5puNMUuhOo6uHuvXl+rFG26IKsKPH3lkOmnNWSNq/WJ2l5mQIiaNHt1Wc08A/dYlQ6diVxpzzny7njzosTn28vr4Y6IRpgBeraNxzi9RRdlO+0Ol9xDTgQMHFzmqsR08siJKVa4G19T48IxI9zIiGTptnljGhNZ2tpFU60vMi7o+c30+k0x86tRXN9wQv9r+rHXnASjHQbFbzzFxkNie1jFV2K2ZcZfvtKRj1Y7fXDjzaFD1CWGLg5p1h/2AWyuOLwKOb6Du0hDCy9nxRcR/mInp835E1fSSinIAk4GlqRyUge2qys3vrFwIYamIvJzKNR2XaB3HcZwtYQSwquL4SmB4xfFG62q+pqtDCKGBclScs9FyemxExfGtxiXaPoS+9avrg5UIrPM/GClun32KYyOTeLVHylxpyq/YGJc33jVNj77d5Ca/DNT2oYx/qxLtKXfOAGCw3Xomj0bxmHnJTMfaqqJv5NgbVck11ds8JEp4VlB8Je3rqkJdV6dU8l1irFS1cWNtnt2SV1EJw15XPw8cGN95d965lEiHjI6fCwm+akPbbIufGjk6dx2y+9HqM8/jTQMvT4t9dcOX9IiNZ6yov1U5DnRs6FixPaa/XjrG7LjTsZjbn9k+qNqtyumcJkm0I0XkIfP9qhDCVfmlKupJA+eWBut2p1xn7Wm0XCPt3iJ82DqO4/QxmjTRrgghTK2T35kEOJxqidGyEqhyAxpu8jUdniyHQxflSO1ZbsqNqFMuZxi18kXT8Im2D6LSqwqDUAou+s9XSFw2LF9yuZh4991A7Wpc4azykxiw4PjjP1TkzZt3XPqUduqhFP10O9q0xMtJxxxTnvT++2OqG63aqBRKvSAPVd+zvH5JBNIwhBaVSK00WiWJdkYuxXZFrnGwbciXlAH6rU/LVyqR5vEW88/2RFXY56sSrB7TPWEp+0r7zvZnuYQV12aPP37PMusn3wPKsbKXqVWMMnXrMePur+m2cuWFfRa5RsapTy+t0eoaas5kqtUged33icjgbJ12MrCBck12ETAQeB2167Q6EB835UjtWd5gufu1kIiMAwY30O4twtdoHcdxnC3hNmCaiEzQA2nCOizldVV3AMZoKrnonADcFULQBZY7iRPvh7L6JwOPJStniJPmik7KrSRaQhNCeBp4tJNyGylDnzUVl2gdx3H6IL0g0V4NnA3cKiIXEtc95wDPYGK0isjewO+Ai0IIFwGEEBaKyI3A5SIygGg5/DFgPGYSDCH8WUQuA84XkbXAI8TJeAbGhSiEsFFEvkAMUPFHYsCKGcBpwCdDCCaqDZ8H7hCR7wA/IAasuBD4Zk/40IJPtNsd+T9PlfqySvU2cmRtmcLQxBjBMGsWABOeeQaAYWa39UL1ce21APzHTaW72Un9o+r4Bz84IB0ptS/r18ddfj70oahqvOl95dLI6afH3V7eNTMZ+yxYULblF7+IqW5VY29cb0zVj/YeNAJV0pWv2RRVxuvMv08eethqW+sZ5ORlqtBzWkOp/HpVgaH0nNbOSdXd7eqZpKpju9OOGpTpMXsCPaluaXTAAWXezJkA/Pi+aHB1zell1s03p/4olgJKA634uwUf/GB0z/n+t8yS1nFxbGj04/1NrRHqPpTGmO2zQWmY7VGzpU/t+M2fuR33mlfVnzsqvaE6DiG8JCIzgMuIfqhC3NbrnBCC9e4S4vpDrkE9lRhk4mLi+uijwMwQwiNZuQuI3mKfInqIPQF8IIRwe9aeK0UkAJ8hRpt6Gjg7hHBFVu7HInIc8EXgFOB5YmSoL3f3GTSKD0nHcZw+Ri+t0aoqtjLusCmzjAqL3hDCK8QQiH/fRf2/Eifjixtoz3eo3fGks3I/An7UVblm4RNtH6KeNKbSQf7Pt6F/aSTUplLHG98IwAjjirNexTDdFNVIn7NmHQvAnXdGKWfVKhviVDU2UQSx3j0LUzTTXXeNEtMhScoCShFcpWpbUSU73VPVBslVt5XkytKeJNx2Y3zz/AvxxVptsHJ7Iks9abeKRmy3LNpHapM0ajcTI1mlVL3PXHqF2g1ooVZ1oVKj9uvU0oD0f34V5U7tA/t4ta9KF57SJXL48NjHKpjWaCHS2NBhN8gOwDSmtC123FGUj2nV+PUderpHb020TmO4MZTjOI7j9CD+frid0sjbqn37t+tdULr71EgIKg2p5GNEvUFLk3Gfbp1jRKATz4mpCp/f/e7BRd4zz6h0G8UTu1+qCmrathdfLPc2nTTpLQCM3T+t9NlgFrmUWxWIQaU+LWPWBEfpOu64KOWuXF2+b+ZRD+tJu41SLxrkiGGba9u7wHgw5BKs3pvtfO2zXHoFSM/u6dVRY7B4QZmlj1D7wPZLXC4DiGu6Y8aUbkGnnBLTE09MBy5fVlbbM7r6FJLs+PFlno6p1F477uzzsDQqvfrabEdcom0tfGg6juP0QXyibR18onUcx+ljuETbWvhE24fI/7GqVGm58U0Rfcii7iBTppTHVDWpJzBGN/1W/BmAI4/cHahVty5cGC+kqtjXvKbM011aNM8a5OgG5sv2bE+Xf0uRV6iT1ZLnN78pK/7hDzFVdbKqW+3JVV+a7mmEUSuPSEZTLxONdaydVdXe7DlVG5SranQw6VlbY6aHltW2z+bpxbVjVfe8995lGXXZSX2lamKAZenxqP3aiy+W1fSZax9YD6nhw3dKl9vFnhooNvYp+rzG+EqjPukDsjphHVMJO+522SU+69z9qWr8apk87rTjtDI+0TqO4/QxXKJtLZo60YrIYUQn4ClE65clwLdCCP9mygwiRg85mWh1sRD4XAjhv5rZFqcalRKK2LE2wIF+1i1lrFim7jEVwQ82DNu95tzWHkeFMJVSqiS9KsMsjTmsgt5yE71UpdyJE98KwF72girlqrVPbkgEHQM/mMAcGjVhsKZWYisanPmhQEdxzIrCS2pdjiqNt3LpFToG5tD7NCLmnzbFZ78kk16h7MaqACbaD3psTxOyOO8rGw5bz6V93mbFXRUzq4KMaGMqdiDaeeco0b5kvcKcrcIn2taiaROtiBxIDHv1AHAG8DJwHHCtiAwMIXw7Fb0WeDcxcsfvgU8APxWRQ0MIC5vVHsdxnB0Vn2hbi2ZKtCcSw2y9x4TfultEDgI+DHw7fT4JOC2EcB2AiPycuKPCRcDsJrbHqaDuP1++f6mVdnUxT0VhEy9Plzw1tQKbooKhDbOnnzXPCoi5YGgFxFxI3WOP3Yu8SVPfAZiQf7p++7vflSfI12+ttKsitIp6VWJgHlkBOkq0diE3f55Vi7wqLdsH9LrXxTRpD1YOibuKWQFcb6VKY7DbbrWntnna3Cy+R83nqm1s9Zb1nJNte3NfIbvxrl68zgD0iaG5+PNsHZoZsKKNGFLmlez4anOd2anMjZoZQtgE3AAcLSIDm9gex3Ecx9nmNHOi/W5K/1VE9hKRYSJyBvB2YtBpiHsALs32H4Qo0bYBE5vYHsdxnB0SVR1vzZ/TPJqmOg4hPCYihwM3Ax9PhzcCZ4UQbkjfRwCrKqrX2/XeaZDcHaLqn0WPqXavfeeK7Wm0kNXX6rGhQzvkbUoGOarSXWhW2lWlqRpG28bcvqomzm+63oa0F4xVX6rBz1/+ElOr+dVr77FHVLNOPCqmbW/4fVnot7+NqaqJ1XjHnqzKOGlLyYP3WgMrvXn1r3nDG4qsDaPjNp+FSj6lVqOvp3zta2NqjZr0mbdpvGnz8DXes96mfYaqmtZnXrWDUWEDVaXT/+MfO1yvQ/gnc1Idi/mjtt891nH38DXa1qKZxlD7AD8kSqdnEVXI7wWuFJH1IYTvEXdwCFXVGzj/mcCZAGPGjG1Wsx3HcfocPtG2Fs18P/wKUYKdFULQ7T/uFZFdgW+KyA+IkmvVLKnbg6ysyAMghHAVcBXAwQdPrZqsdyj0zb7efrSW/J+usFPZzRj7qNShhk/WaCePs7vrrkXWpONfD8B999UWhTJEsbZJpTMohSHN2223ciWjX5KO2pL4NtZIQGPfEEW1NWmfVCvtaqALPbdKZ6NGTSjKjDoqidIq0dpgFrmllb0ZFSWrtujJRa6qzYA1tf4yKsmm9PlVZbzn5xfXXlaDjNjqKrW2k/aQtQ9j8fqatmweVz4DtQ3TzXfsJjz6zPT2ND4IlEOk8Kia92CZqZ2tz8xK7jqm9ATm+byaKQ/q7RNchUu5HfGJtrVo5hrtAcCjZpJV/hfYFdidKO2OF5F8j6zJxP3UluA4juM4fYhmvgs+B0wRkbYQwgZz/BBgPVFavQ34J+B44N8BRKQ/cAJwVwjhVZxuMWBA+VmDPChV3ie5B8+adeW7VrtKIFX+IFohF0OBtuRHcvjh0bXGrtE+9FBM166NIfuWLy8bvHhxVGRUxZQ48sgofQ1+9sl4wEpqqUJ7ame7dTGZGD/rjjzabBsM4U9/jVLjsNFREh9sRcRckrVrkPpZFxXtA9dgDer+ZNck9XMu2WJCPabLWSWCVtPmFTv92Gex5LnattlOT8/l5T3is7znjjLrjjtq0+XLrelEfFceOjSuvU80JoqHHx7TtgV3xQ+//KVpy5LaNtjnmj0DO+5yRYFST1K1496pxiXa1qGZE+23gHnA7SJyBXGNdjbwQeCyNPkuFJEbgctFZACwFPgYMB74UBPb4jiOs8PiquPWoplWxzeJyLuAzwHXEEMw/o4Y+ek7puipwJeBi4khGB8FZoYQHmlWW3ZUVKiqJwnka7pWYCsk2jFjYmqDPOhJVZpSUdXkTT4l1j/uuHI/Wl3+vPtulY6XFnnLl0fJ9OqrY5D8hQvLgPi63DdrVpQ6D5xipFZdRKxaR03S7ogkQY3IpXTg5fVRmtIfojWUKxn9R0YTgkGjY9pvk1HOqLjZyBqt0QZs7t9WWd1SbDwwyFhe5ybBSyqid+QnMOEof70sPs87Lo/fb7mlLP7gg2lNlz9oK83J4j6yukfAcceVOZPXp39TFYXtONAbVEnWrtHqmErHVq/oWE3HZpW0qo/VNxNoDJ9oW4ummhGEEH4C/KSLMq8Af5/+HMdxHKdP4/Z6juM4fQyXaFsLn2i3M1SF1sg/USMqZBv8YM2wqEJtV9Wf3aQ030bHGuT84hc1F3zHWaXrxrqzoup3ddon9cEHS7eg0sh8ecoroy08+OBkAB54IOoKZ80q1cpHHvk3AEyYtKa2bfaGnsuMhIzqeHAex9i4mmzYFNXKpVFS6W6zST/rc63ncmL7J3NXqVEPF0ZmFfGlte35Bq3W+Cv10e9XxOdzzw1llmp3b79djbYeN43SbX70/kqLpze/OZ7rrLPi93eMe7KsduXcmGqfa9QQKF2+tH12/KQxtWZTHGP2Nqtc1KD7bjvu5lPiE21r4UPTcRynj+ETbWvhE+12TtVbvHqdVDn8q/SgZdauLcuozU0h0Vq/DpUa1RfHSrRqNJX7FwHHJrFo42eiZPv1r5cuHw8+mEtaVuKK17n99uiacvfd+xY573xnTI88Mkpe06YdWOTtPzWmbaujO1FlKMVcUjTiVVsyYmqr2qFnUPy8uY77eT81KrLXK3yqKnb2qdrtR8k27NU9YNVQDOCBJGDec09Mf2IsJNavfyJ90vCTa8pMVEMQDZ/e/OayXz7zmZgeu3+SZK+8sqymF9LxoFE0oNwuSCVZO37SmFqRho8ddzpscmO+qvGrhlIuvXaNT7StQzMDVjiO4zhOXUSkn4icLyLLRGS9iDwqIu/vRv1jRORXqe4fRORCEelgjy4i00Xkv0XkFRF5TkS+ISI7V5TbT0TuEpF1IvIXEblOREZkZY4TkR+m670iIk+IyFdFZGgjbfb3wj5IlZtPZxsOVAl6z+8S1+1GWYlEJdg8tRV171crnaULnJAk26FfmlxkXXppdOuZP1/Hvol0Uawh/jmdstwU4Oabo5R7xx1Ryp0+vayln6dM0WALMbWxE4rAD/WkyXxd1NCvnjhVbycHxQYCyYKDaKANKJUHS1JoSw0EoqEu7eeNG3PpFfTZlZgdB4i7AhxxRHw+555b5rxrXNIsfCtJsnfeWWY+9VTtPagUC6UEqzEbzfjR0JI6VF6tCE1TT6J1t57u0eKq4znAucAFwMPEvcznicisEMKP61UUkaOJMfWvJXquvJEY/nco0bVUyx0I3A38FJhFVN18DXgtMUCSltsLWAAsBo4jupx+DbhDRKaHENSg4lzgaeDzRHXbG4EvAUeIyFtMuUp8onUcx+ljtOpEKyK7EyetS0IIl6bD80VkInAJUHeiTWXuCyGcaeoOAS4UkctCCCoB/BNxQjxewwKLyAbg30Xkn03chs8CA4D3hBBWp3J/4v9v79zj7aqqe//9hSSEFEOSRkBIIImxFnIRwVwvKNVEI+ENvQbEai34QfrQalv1tkhufSEPsTwUbYlSUUAUEGp4iICGREq4GhBq4qOFBmLAQDAJAUNIwHH/mHOePc/MOmvvc3JOsvfO+H4+57P2nnPMvefaa+8z1hhzzDFgEXAScGOUO97M1mTzWCRpLSHD4UzgB3WTdtex4zhOl9HG9WjnEELdry7arwYOkjSlr4GSJhFcMeXYqwjK8ugoNwI4CriuyL1/HSGn/olZ2wnArUnJApjZYoL1emLWlivZRKqosW9fc064RduhVG3zKQOe6oJJUgBK7jVNMUGpPOvLotsVYHTKOFSVjSn6A1/81a8A+F1yLwIjU9RLfPFjTjutp2/vz70JgEsuCe9z1VWzsjP8UTymTFIrs75fx/MM24MWLmz4hRcuDO7KKVNCkE6qm5olTGLatHB/OXFi2GoyYUIjM1S54yd3WfYE4tA36XrkW1bSZ/1cxQ6e9DH2uImzshopAVZyGa9YkRI257U34kBSTd38/0oKVEr/u17f0/OnfxpO5m/+Jjw/9LnFjWGfuzIcY2TV5myZIN2ZD08u4/yDLT7sjbs3vj9PFrV08+9t8kKXgU5VHvpW23Z22tWiBaYDL7B1AZnl8Xggefq4rccCLMsbzWyFpI1xLMArCZkJS7lNkh5JcnG9dgohk2HJ8uz1+uLN8fjzJnJu0TqO4ziVTJC0NPs7s/mQpowH1ptZWep0bdZfNxZgXUXfuqy/Tm5t1j+OUAu9mdxWSNoX+BRwl5kt7Usu4feCXUhptcLWKXirrN50B5wCVpKVBTDtD8PN3bCyik/2eHg8bsz2biRraPdrrw0NmXV06LuCBXzJJaGexLRpjSS3X/nKGwH41a/2ii1VyRZS4E82UYIZuGLFXvGYrN1GINDLX/578f3C86r6rilGKd+98rIYX1hlcZXBZfn2lVQ5KH1kFYWIeizZNWuyMkM951larXmu45SLOSWeyAOewjWbNCmc6BlnNHo+8IFwHP/da8KDa65pdC5cCMBz0d2R342PTh9CsmRnzGh0Rov2d/G7sqqi9nBVrdnkNajaUZXwaj39ZxAs2qfNbEadgKTZhKCjZiwys5kExVZVT1wtvEaSaTZ+sOV6d4Q14e8QUtGc3pdcjitax3GcLmM7uo7vBQ5oQW5jPK4FxklSYdWOy/r7os7qHZv118mNo+GmXkdQsn3JbTUXSaMI5V6nAm82s1WlTBWuaDucKqsqka8vJmshyVRZvWV1mXwZNr3P1LQOly80psfRjBt9//09Xeuj6bw2vvjuWUaFkanSTkx48Y/Z+u2MGaF6zpVXBmvs+uvzGImH4jGtBWdpAHusv2QNpm0vjRSOa9b8fjym3/Y4GozrJT8iM6XSum2+O6ekIgcGW3oWbFPCiNxTta445ueS5GP9W9LFyrcCpnXQV8XjwT09J58cvgDpYz3mf2Tr3JddGY433ADA5rQ1C0hTT5bs2NycnB6XyVJpnwqLNuWyeLqiQk8i/wzLtdnUV7elx9dl69leitbMNpLcSK2xHNiVsI6ar9Om9dCfbTWi91gIa7VLUqOkycDobOwjhHXg6dnYpCSnEsq5YmYbJT1aymXzWVSMH0HYWvR6YLaZ/bRiXCW+Rus4juNsL24nrHeU9cffDSwzs74CoTCzlYS77KqxW4iV42Lt89uBUyTlt2RzCUp+Qda2ADhW0h6pQdIRwP65nKRhwDXAW4ETzey+pmea4feFjuM4XUa7Rh2b2VOSLgbOkvQs8AAhgcRb6L3tBknfB/Y3syxzDh8jJJO4HLiWkDhiHnBptocWQjKJJcB1kr4ITCYkorjBzO7P5C4kKOoFks4D9gA+S9j2cFMm90XgZEIt9d9KOizrW9XMheyKtgupc6uVLuR8G0oaV+X+TAE8w2MR8/1yl2EZCZT5o8f8OGw1S4sdmTeRUdFdOT75Gh9sZIY65tRTAZh99SnhOLvhR/zmN0Nh+YULq7xNKUAquWDTSeTu2vSbSA6d3BU7qlfbli0Nt+m6dSngqC4yJ32gmyvakgs496OmtpRYJs8Xnd4nVRdKlY+mZjLhM5g1K8w7fmxAw2U88t+uCw/+JivtE3MWr43u/nxG6Sx76h2l5YLwRuGYUnBl34OVq8PI9F3Jvz/pq1HlFk5tZV/usXZXcf9oV0UbOZvww/wQsDdhfecUM7u5kNuFQkeZ2W2S5gIfB04jRAieS1CAudyDMYvUBcCtwDPA1wmKOpd7XNIs4CKCW3gzIdDpw0W2p6OzuZ9dzPOTBMXeJ/71dRzH6ULaVdGa2UvAOfGvTm5mH+030sjYVDd+MXB4C3I/Bd7WRGZys9epwxVtF1Emsair7FNatnlfXR7kBo3gov0OO6zs7GFYNE/G3xeWNHKLNoX6pO1AY29qeGp2Xxq2po2MlteZc+f29M294UgAbrghnMQttxza03fnneHxpk1pqSdZuHne32Td/rZ4Dr0tyqEij/JJ9mPaR5QHZqVAp2DBjhoVAsLelv1LOO64cEwfz/ildzQ6PxACnVKu4udiQhFobBBKl7iRsqMRgjksXddZWSKRmTPDMfatXN/4HqStSlt/V7YOdNotcyKU23rqKvS4ZdsabW7R7nR4MJTjOI7jDCF+f7iTUVZIybdZlJZs1Rpb2rLRq9zqxGDVTE3rdvmLxsfDogmzZ1Z65qm4QJze5olsnqOi9TX+y18GYPc7G3vix0eT7syjjgrHG47r6bvj7mAh3nVXsP7uuSccl2a5W7ZsKbcAVdnZydrNUxqmddc6qzdZqyOztrTYmKzWMVnfhHgMiSZGjGhkz0jLn+ljnT07HI+cma3/3nJLOP5DrLCTfU7PxbXvtD6er8OmH35a/d0zXxBNb5is13TMJvXfq4MNnCc1KS3ZXqV8R1Ufczmv0DN4uEXbXriidRzH6TJc0bYXrmgdx3G6DFe07YUr2i6krrJPHeWWn3x8WSM9dxM2XM7BnfgHeSX25CNMaZXG9mwa6XEjj1wTKlDl+c42FMfRaQsQDXfy2OuvDw2HNwILj4xuziNPCnPYfM4bALgv216+dGlwzy5bFo6/yPLapLdJW1TMNjQ6e5yvVS7k0mXc8I1KwVWc8ihPntwYlVIGp1rp+a6pFIs0cum94UFyu19yd0NoSUiQsz5ekPwz3EhvqgKexqYqPPk1S48rtvD858MhrCO5jOu28OTu4V13bd7nQVCDiyva9sGDoRzHcRxnCPH7xC6mKg9yaRnkuY7rcviWr/P881u3NYKoGvdv0/4w1EAdMyEG/ey1V2NgNPHGRkttdJZvN23GSfZkHmeTHo+KVlyeP3lCfDw6vvbIgw4C4E1Z0oU3HRzzAc8OfXlN1SeeDhZp2gnz5JONwKXnnhsTj73PFxqfa1nPFhqnPGlSOO4zIQtmSuZ0OvdbHmr0nfNgr76N0czOQ7eSQVmkEgYaNnU6gz2zvvS59Fitb3xjozN6CDZMCNuKHm7kEekJhkufQZ7wJG3ZSd+jqspHVRV6+rJk3YodOO46bi/8q+w4jtNluKJtL1zR7iT0lcyizoqtS2aRk6zbdTHvQ16pJT2eODFYR/sdP6HRmUy8uGg5Mtv6MzEuqm6I67dVG3CqrN2U7HRUqoObjtm2l7RKPDKtT+67b0/fPnFO+5SFaQH2iHnHk+mWm1yb4gezJn4YzzzT6CsL0WaJI3j8cQA2x/PMz+W54pg+1vwSJN9Bab1CY+PQmHSeeWKOyKF3AAAexklEQVSRZMmmtsziT0koVi0Lz/MqPLknA6oTT9Qlpajb3tPXc6f/uKJtL3yN1nEcx3GGEL93dBzH6TLcom0vXNE6PaTMPK0EReWkH3RV1Z/kakxt6/duODenzXgTAKPTfpdpWTWsuN9lTHQhj/nJT3q6yq0s+QactKVlbXHMXTfpS5+2FaUjwKhYQSht0hlZMW5YcYRG7Z10zP/HbS6Om2r68nF56ZB8Lvk2nfRp9mzXyV3dhxwSjlVF2uPjjRP2A+DhrAR38nCnpYCXKhJhVbmAy0CwPCCslWLuzuDhira9cEXrOI7ThbiibR9c0e5ktFLhJ9Ffyza9Vm7RvvBCOFbVKE1BNhMnBqtq2kn79fQNSxkcUpBOVqt2bHw8Nlq5m9KL07BgU1BRsnBzKzI9TlMpLUeoDl7oT0BD1WvWvU+PlZ31jS6OyVYdn8mMSkFbyXrNa8emx/H4u2l/0NOVLNhVMZFHnoAkv0bQ+zuSrNQyD0n+uJSBrWvMelKKocUt2vbCg6Ecx3EcZwjxe8idlP6maSyt21y2rAiUUyZ3qLKcyt0vAHvvHayvaXPDcVi+vvjzn4fj8uVhbsuW9XTtExNA7PNf/wXApvjiVdtmkrWbpY/Yas00t0LLddgqSgs1b6ta9y3XXTMDsceCHZXWXV/1qnDMEmz05G6cPj0cDzigMd/JMeFEtF5XN3ZPbZV4oup7UCbhyB+nZBQpEQVsvW6br8e6Jbt9cYu2vWjJopU0UdIXJC2RtFGSSZpcITdK0oWSfi3p+Sj/pgq5YZLOkvSopE2SHpL09m0/HcdxHCcp2m35cwaPVl3H04BTgHXAD2vkrgDeB/wjcByh4Of3JL22kPs08AngMuBo4D7geknHtDxzx3EcpxJXtO1Fq06bxWa2F4CkM4AjSwFJBwN/ArzXzL4a2xYBy4FPASfEtj2BjwDnm9nn4vCFkqYB5wO3Dfx0nP7SSj7knLoAqSr3YHr87LNby5fu5KpAqVQlZu+9p/b0Tfyj8HhMqtqTVfbp8ZNG1/Goxx4L43OZlJkp+qpfzPzZm4pj/v8mPa5yIZdbfvKPMD0eVRwBhie3cApqStmyoFHmZ//9wzG5jvNtUFFmw/AQIpUXYl99dzhWfb7lP9L8mqVqOsktXOU6rtreU7qM81rynv1p++PKsn1oyaI1s7plqcQJwBbgW9m4F4FvAnMkxZ8vcwhLU1cX468GDpI0pZU5OY7jOE4nMJj3ldOBFWZWlsFcTlCs0+Lj6cALwMMVcgAHAisGcV5Oi7Sy9Se3UspxdYEuVVt/yhq3VTmSqwKlknE6dmyw4iZMaGx42fuoQwEYc9SG3gNzU+/Xvw7HJ58Mc8uS+e4eH++e3jifVFXkUElVBFEy9ZL1OiHL91xWNXrFKxp9EyfGkwrW7oaYniL/LJ6OxX/SdPNgszT1qumWua7rEk9U9VVV4akLmKtrcwYfD4ZqLwbzaz+esIZbsjbrT8f1ZmZN5Hoh6UzgTIBJk/arEnEcx3FwRdtuDKaiFVAqz9Q+ELlemNl8YD7AoYfOqBrvDBKtbP3JrZe8Jmkpm6yqqi1AqS+t36bkFnlflbWbrLY6a2zs2DG9j1myhrFxp9CYUXETT25mlwuaVWZ2WYA3P7Gqskhldoc8TWJs27BpZK+3zx+vf7B6avmU8mmWVE2pXIfN+8qtO1WVdtL4unXYqjk424d2VrSShgF/D/w5sDfwS+BTZvbtFsefBHwcOAB4EvgycJ6ZvVTIHQF8FjgEeAb4BnC2mT1fyE0HLgbeQPC2LgA+bGZr6QNJtxOWQT9jZvOazXkwE1aspdoaHZf1p+M4SaViLeUcx3Gc7mPAu04kzQG+Dfw4jr0UmAecW8i9BrgTeIqwA2YecDpwZSG3D3A3sBswF3g/MBu4Jd4QVM3hncDBLZxnD4N5n7kc+GNJo4t12gMJ+/8fzuR2BV5J73XaA+PxZ4M4J8dxnJ2OdrVoB2HXyfnAPWZ2ZjZ2d2CepIvNLEUwfBJYBZxsZlvie28GvibpAjN7IMp9FBgBHG9m66PcE8Ai4CTgxmL+YwnW798SLOSWGExFu4BwcicDX4uTGg68A7jDzJJj8HaC4n1XlE+8G1hmZh4I1SZUbf2p6qsbV3pU82LgyQWaXJNVVX+SOzl3jaa5JPkqz28KGKr35I6MzxuOmF13Hd9rnsOzmKbhY7c+v5Iqr3J6/HwsEvRCFpdVVjxqxVNdF9xUFZyU3Lz5Z1+Xs7h0yVdlAavL9FTOydkxtKOipX7Xyb9KmtKXDpA0CXgtMVYn4yqCLjka+KqkEcBRwEVJyUauI7iZTwSSoj0BuDUpWQAzWyxpZZTrpWgJrujlZnatpMFXtJLmxoevi8ejJa0B1pjZIjN7UNK3gEviia4A/hKYQlCq6SSeknQxcJakZ+MJvwN4Szwxx3EcZxtoV4uWbdt1EvOMsixvNLMVkjbS8Iq+krBdvZTbJOmRJCdpN4J++krFey3PXo8ofwTwHvrpNob+WbTXF8+/FI+LgJnx8enAZ4BzCKlaHwKOysz0xNmElLMforEYfoqZ3dyP+TjbkdI6qQuUygNkUqBUlcWVHifLLbc6S0vv+Sx8obRyq6zHVoKDqp73p6+Oqjn1t6+k7jMsrVdoWLBV23RKq7XVxBPl+zZrc3YMbaxoB7TrpOir2t2yjt47W/qSy2OJxhGCcPuSe3V6Eo3Hy4HPmdkva+ZYScs/DTOrjQqOMs8Dfxf/6uReIijjc1p9f8dxHGe7MkHS0uz5/Lj7owdJswlBR81YZGYzGeCuk0Km2fjBloMQJb0bwZDsN34P6gyI/qZuTFRtFUltVeuTdX1VW1tKi7ZuzbTqeblVaSioshATdevbdUki6izTur4qK9nXYTufQbJonzazGU1k7iVss2lGCpDt2XVSWLWt7Dqps3rH0ntnS19y42i4qdcRlGxfcmsBJO1H8MKeAeyaZTkkPh8LPFtuL8rxn4njOE6Xsb1cx3GHyS/6MWRbdp0kBTkdWJIaYyW50dnYRwjrwNOzsUgaBUwlLoOa2UZJj5Zy2XwWxcdTCWu+ZQAXhAjqjxD26j7Y18S98LvjOE4X0qbVe/JdJzlNd52Y2UpC3E/V2C3Ad6Pc5vg+p8SdL4m5BCW/IGtbABwraY/UEIOe9s/kHgRmVfxBUL6z2Dq4qxdu0TrbTCuBUlXZpuoCpZJrsyq4KQVGvfTS1n2ly7iUzfv661YeKK0EWNW5cHu2GtVsVSpl8766IKpWKu3UnYvTnrRrMFR/dp1I+j6wv5ll5ar4GCGZxOXAtQRLch5wabaHFkJCjCXAdZK+CEwGLgRuMLP7M7kLCYp6gaTzgD0IW3h+BNwU57yekNSiFzHn0mNmtlVfif9sHMdxnO1Jq7tOdqHQUWZ2W9xq+nHgNEIKxnMpgpTidtM5wAXArYQUjF8nKOpc7nFJs4CLCBmnNgPfIaRgbKVqXUu4onUGnVYTXZRWbh6IlLapJEu0yoqrskhLC7ZKpi5QKpHm8lKf4Q2t08o2mSprteyrslpbGZ/G5bQS6FS+jtNZDKKeGFRa3XUSo5Sr2m9k60QSVXKLgcNbkPsp8LZmchXjWomUBlzROo7jdCEGDMJdojMouKJ1hpS69dtSpsoSTpZXbu1WrfcmUnKGVtZhq6zW7b1GW7eVpq/127pkEbn1WlrQrVqmbsF2C65o2wWPOnYcx3GcIcTvXZ3tSpW1VGflVlFaanVru1WvXbc2W2fB9se67W/kbn+t1USryS+2RcbpRNx13E74z8xxHKcrac9gqJ0RV7SO4zhdh1u07YQrWmeH00p911ZdsWUQVaLOvVz3voNJ3Tn0xy3cX3evu4d3RlzRthMeDOU4juM4Q4jf6zptTSvWbivyrVi9zehPZZ/+vnZioNanW63O1rhF2y74z9NxHKfrcNdxO+GK1ulYWrHi+rt1aFvfbyhwa9UZGB513C74T9hxHKfrcIu2nfBgKMdxHMcZQtyidbqagbpdt/f2HscZXNyibSf8p+84jtOVuKJtF1zROk4Fbn06nY1btO2Er9E6juM4zhDi9+2O4zhdiW/vaRdc0TqO43Qd7jpuJ1zROo7jdCWuaNsFV7SO4zhdh1u07YQHQzmO4zjOEOIWreM4TtfhFm074Rat4zhOV/K7bfwbGiQNk3SWpEclbZL0kKS392P8SZJ+Esc+JmmepF0q5I6QdK+k5yWtlnSRpN0q5KZLukPSc5J+I+mrksb38d7HSFocZTdIWirpLc3m7IrWcRyn60gW7bb8DRmfBj4BXAYcDdwHXC/pmGYDJc0Bvg38OI69FJgHnFvIvQa4E3gKOC7KnA5cWcjtA9wN7AbMBd4PzAZukTSskP1z4DvA/cAfAycD1wOjm83bXceO4zjOdkHSnsBHgPPN7HOxeaGkacD5wG1NXuJ84B4zOzMbuzswT9LFZrY6tn8SWAWcbGZb4ntvBr4m6QIzeyDKfRQYARxvZuuj3BPAIuAk4MbYNhm4BPiomV2Szed7rZy3W7SO4zhdSVtatHOAkcDVRfvVwEGSpvQ1UNIk4LUVY68iKMujo9wI4CjguqRkI9cBm4ETs7YTgFuTkgUws8XAykLuvQR/+r80Ob9KWlK0kiZK+oKkJZI2SrKo4XOZGZLmS/pFlFkp6ZqqD25bffSO4zhOHW3rOp4OvAA8XLQvj8cDm4wFWJY3mtkKYGM29pXAqAq5TcAjSS6u104p5bL55HM5AvgFcKqkRyS9KOlhSe+vmW8PrVq004BTgHXAD/uQOZXwQXyecGfxD8ChwNJ4J5IzYB+94ziO0wptqWjHA+vNzIr2tVl/3VgIeqhkXdZfJ7c26x8HqAU5gH2AVwEXEtzXRxLWgC+T9KGaOQOtr9EuNrO9ACSdEd+k5AIzW5M3SPp3YAXwPuAfY9u2+ugdx3GcWoxBiByeIGlp9ny+mc3PBSTNJiicZiwys5kExVYqWWJ7M5JMs/GDLQfBKH0ZcJqZ3RjbfhA9u2dJ+nzFzUMPLSlaM2t6xUolG9sek7QG2DdrrvPR/6ukKdEV4DiO4+w4njazGU1k7gUOaOG1NsbjWmCcJBWKaVzW3xd1Vu/YrL9ObhwNN/U6gpLtSy6fy28IFm15U3EHYT34FcATfU18SKOOJR0A7An8PGtuxUfvitZxHGebGPqEFWa2kbB22SrLgV0J66i5DkjroT9rMhaCDlmSGqNVOTob+whBx0zPxiJpFDCVsCUHM9so6dFSLpvPouK9D6uQS5ZvrTE6ZFHHkoYTIrTWAFdkXQPy0Us6M24OXvr001sZz47jOE4PbRsMdTsh8vddRfu7gWV13kwzWwk81MfYLcB3o9zm+D6nRD2UmEtQ8guytgXAsZL2SA2SjgD2L+Ruisc5xXvPAVZl24oqGUqL9jLgDcCxZpYvNg/IRx/XBuYDHHrojD594Y7jOE57pmA0s6ckXUxY13wWeAB4B/AWem+nQdL3gf3NbFrW/DFCMonLgWuBQwjJKC4tlN0nCFbvdZK+CEwmBDLdYGb3Z3IXEhT1AknnAXsAnwV+REO5QogdWghcLmkC8N8ExX0kIRFGLUOiaOOEzwT+zMzuKLq3xUfvOI7jtETbFn4/G3gO+BCwN/BL4BQzu7mQ24VCR5nZbZLmAh8HTgOeJGSF+kwh92DMInUBcCvwDPB1gqLO5R6XNAu4iJBxajMh+9OH89gkMzNJJwHnEZJhjCO4zN9lZt9odsKDrmglnU3Y2vNBM7uqQmRbfPSO4zhOB2NmLwHnxL86uZl9tN9IzNjUZPxi4PAW5H4KvK0FuQ2EFI0t7Z3NGdQ1WkkfJHx4Z5vZF/oQG7CP3nEcx2mFtl2j3Slp2aKN5jrA6+Lx6Lh1Z42ZLZJ0KiEX5O2E/UV5hNYGM/sZ9M9H7ziO4wwUV5btQn9cx9cXz78Uj4uAmYS9RIrHowrZJJNo1UfvOI7j9Jv2DIbaWWlZ0ZpZs6jg0wiL0628Vks+esdxHMfpdLxMnuM4TlfiFm274IrWcRyn6xiUXMfOIOGK1nEcp+vwNdp2whWt4zhOV+KKtl0YslzHjuM4juO4Res4jtOFuOu4nXBF6ziO05W4om0XXNE6juN0HR513E64onUcx+lK3KJtFzwYynEcx3GGELdoHcdxug4PhmonXNE6juN0Ha5o2wlXtI7jOF2JK9p2wddoHcdxHGcIcYvWcRyn63DXcTvhitZxHKcr8X207YIrWsdxnK7DLdp2whWt4zhOV+KKtl3wYCjHcRzHGUJc0TqO43QdyXW8LX9Dg6Rhks6S9KikTZIekvT2fow/SdJP4tjHJM2TtEuF3BGS7pX0vKTVki6StFuF3HRJd0h6TtJvJH1V0vgKuTdGuackbZD0gKT3tjJnV7SO4zhdye+28W/I+DTwCeAy4GjgPuB6Scc0GyhpDvBt4Mdx7KXAPODcQu41wJ3AU8BxUeZ04MpCbh/gbmA3YC7wfmA2cIukYcXr3QWMAN4HvD3O4QpJf9ls3r5G6ziO03W0ZzCUpD2BjwDnm9nnYvNCSdOA84HbmrzE+cA9ZnZmNnZ3YJ6ki81sdWz/JLAKONnMtsT33gx8TdIFZvZAlPsoQXkeb2bro9wTwCLgJODGKHcqsEuUey623SnpYOA9wD/XTdotWsdxnK6jbV3Hc4CRwNVF+9XAQZKm9DVQ0iTgtRVjryIoy6Oj3AjgKOC6pGQj1wGbgROzthOAW5OSBTCzxcDKQm4ksAV4vnjv9bSgR13ROo7jONuL6cALwMNF+/J4PLDJWIBleaOZrQA2ZmNfCYyqkNsEPJLk4nrtlFIum08+lyvj8fOS9pE0VtL7gLcCF9fMGXDXseM4TpfSfq5jYDyw3sysaF+b9deNBVhX0bcu66+TW5v1jwNUI/fq9MTMlkmaCdwE/FVs3gL8hZl9s2bOgCtax3GcLmRQ1mgnSFqaPZ9vZvNzAUmzCUFHzVhkZjMJiq1UssT2ZiSZZuMHWw5JryIEYS0H/oLgQj4R+BdJm8zsmrqJu6J1HMfpSrY5cvhpM5vRROZe4IAWXmtjPK4FxklSYdWOy/r7os7qHZv118mNo+GmXkdQsn3J5XM5l2DBHpet+35f0u8Dl0q61sz6/MBd0TqO4zgDwsw2Ar/ox5DlwK6EddR8nTath/6syVgIa7VLUqOkycDobOwjhHXg6dlYJI0CpgLXp7lLerSUy+azKHt+EPBQEVwF8CPgT4A9gdX0gQdDOY7jdB1tG3V8OyHy911F+7uBZTGwqRIzWwk81MfYLcB3o9zm+D6nSMqNybkEJb8ga1sAHCtpj9Qg6Qhg/0JuNfBaSSOL9/5fwCbqLXG3aB3HcbqT9guGMrOnJF0MnCXpWeAB4B3AW+i9nQZJ3wf2N7NpWfPHCMkkLgeuBQ4hJKO4NNtDCyEhxhLgOklfBCYDFwI3mNn9mdyFBEW9QNJ5wB7AZwmW6k2Z3GUES/hmSV8irNGeALwTuDgq9z5xRes4jtN1tGfCisjZwHPAh4C9gV8Cp5jZzYXcLhQ6ysxukzQX+DhwGvAkYf30M4XcgzGL1AXArcAzwNcJijqXe1zSLOAiQrDTZuA7wIfzNVczuyFmrvp74CuE7UOPEDJJXd7shF3ROo7jdB3tq2jN7CXgnPhXJzezj/YbaWRsqhu/GDi8BbmfAm9rQe67RPd0f/E1WsdxHMcZQlpStJImSvqCpCWSNkqyGOlVN+asKHdPRd82VW9wHMdxmtGWwVA7Ja1atNOAUwj7jn7YTFjSVIIf/qk+RAZcvcFxHMdphtHG1Xt2Olpdo11sZnsBSDoDOLKJ/D8D1xBSWPV6j0Go3uA4juM0xa3SdqEli7Yu40WJpD8BDgXO6kNkwNUbHMdxnFZo2320OyWDGgwlaRyhksH/MbO+NvBuS/UGx3Ecx+koBnt7z4XAf1JUsS/YluoNjuM4TlPad3vPzsigKVpJf0SoNH9ohRLtJcoAqjdIOhM4E2DSpP0GOk3HcZydBA9oahcG06K9HLgCWCVpbPb6u8Tnz5vZCwywekMszzQfQNKa3/s9/RZ4ehDn365MwM+zW9gZzhH8PHcU+zcePvM9uHnCNr5eO51bRzOYivaA+PcXFX3rgL8FLmHbqjcAYGYvl7S0hRJOHY+fZ/ewM5wj+Hm2A2Z21I6eg9NgMBXtrIq2Swj5Kv+ahlLNqzd8MpNtWr3BcRzHcTqNlhVtTOQM8Lp4PFrSGmCNmS0ys7srxqwHhud9/ane4DiO4zidTn8s2uuL51+Kx0XAzH6+b6vVG+qY38/37FT8PLuHneEcwc/TcXqh+gBhx3Ecx3G2Ba/e4ziO4zhDSEcpWkmTJN0g6RlJGyTdKKljN9VKmivp25Iek/S8pF9KOk/SyzKZybEKUtXf2LrXbxckzexj/usLuXGSviLpaUm/lXSXpIN21Lz7g6S7a67T7VGm465lq5W7JI2SdKGkX8fv8hJJb6qQa8vKXa2cp6QZkuZL+kWUWSnpmqq0sfH8qq7zSdvrnJz2oWMKv0saDfyAkL7xzwhJL84hFCR4jZn9dkfOb4B8BFgJfAxYBRxCqGo0S9IbihzT5wELivHPbo9JDiIfBH6cPX8xPZAkwvlNIUSpryPky14o6bVmtmp7TnQA/BUwpmg7HLiIra9bJ13LVLnrfkLlrr4KilwBHAt8FPhv4P3A9yQdbmYPZnKfJnzvz46veSqhctdxZrYjC4q0cp6nElLIfp6wTXFf4P8CS+N39FeF/PcIv+ecXw7inJ1Owcw64o8QOPUSMC1rm0L4Z/13O3p+Azynl1e0vYdwE/GW+HxyfH7Gjp7vNpznzHgOs2tkTowys7K2PQgJTD6/o89hgOd9BeHGcHynXktgWPb4jDj/yYXMwbH99KxtOEGpLMja9oyfxyeL8d8H/qMDzrPq97o/IQXTp4r2R4Grd/T187/2+Osk1/EJwH1m1pPkwsKe23+nQ7cFmdmaiuZk8e27PefSBpwAPGFmC1ODmT0D3EwHXl9JuwEnAzdb3wU22h5rrXLXCcAW4FvZuBeBbwJzJO0am9u2clcr51n1ezWzx4A17Hy/V6cfdJKinQ4sq2hfTndV/HlzPP68aD9P0otxfXpBp6xdFlwj6SVJv5H0jWJ9ve767idp9+0zxUHjfwMvA75W0dcN1zJnOrDCzDYW7csJinVaJtdVlbskHUCw1MvfK8DxcS33BUn3+frszkvHrNESqvqsq2hfSyNPckcjaV/gU8BdZrY0Nr9AyCN9B+HO+Q8Ja7r3Snq9mVX9wNuNZ4B/Iuy53kBYi/4YsETSIWb2FOH6PloxNlmD4wh7rzuF9wBPAd/N2rrhWlZR99tM/enYNZW7JA0H/oVwLa8oum8meKdWAHsBHwBukvSnZlZa9E6X00mKFgZQ9adTiBbbdwhrzqendjP7Nb3zR/8wRrEuJwSUvHt7znMgmNlPgJ9kTYskLQZ+RAiQmscAqzq1I5L2AWYDl0YXKtAd17IPWr12XXONI5cBbwCONbNeNxpm9tf5c0k3AfcRAuFc0e5kdJLreB3Vd7zjqL6b7hgkjSJEoU4F5liTCFsL0Y33AP9zO0xvSDCzBwi1i9M5rKXv6wuddY3fTfhtVbmNe9EN15Lm125tdhwXI8zr5NoeSecRyna+18zuaCZvZi8RsutNlPSKoZ6f0150kqJdTljjKTmQFir+tCuSRgDfBl4PHGNmP211KNXWQSeRn0Pd9V1pZp3mNn7IzB5qUb7Tr+VyYErcgpdzIKGAyMOZXKrcVcpBh/yOJZ0N/APwITO7qj9D47GTr7UzADpJ0S4ADpM0NTXEDeVvZOs9iR2BpGHANcBbgRPN7L4Wx+1HOO//N4TTG1IkzQD+gMY5LAD2lfTmTGYMcDwddH3jeU2nBWs2ynf8tSRcnxGEKGugZ/3yHcAdFupQQ+/KXTkdU7lL0gcJ+/fPNrMv9GPccMLns9LMVg/V/Jz2pJPWaL9MCCj4jqR5hLvCTwO/IgSYdCJfJPz4PgP8VtJhWd8qM1sl6Z8IN0RLCEEXryYkcvgdcO52nu+AkHQNISjkAWA9IRjqLOBxIP2zWkA4x6slfZRGwgoBn93ec94G3kNYZ/9G2dGp11LNK3c9KOlbwCXRQ7MC+EvCPvcepWptXrmr2XlKOpVQ+vN24AfF73WDmf0svs47CedzG+H/016EBB6vA9459GfitB07eiNvf/6A/Qhu1g2ETDr/RrGpvJP+CFG21sffJ6LMewnRi+sI/8BXE/6Jv3pHz78f53kW8B+E6OMthH8+84FXFHLjgX8lrNVtJCQyOHhHz78f5zmCoEBv7qO/I69lzXf07kxmN0IWrNXAJoKFPrPitXYhBL89RojC/g9g7o4+x1bOE7iyxc/iMEIWuyfj9/0Z4C5C/MUOP0//2/5/Xr3HcRzHcYaQTlqjdRzHcZyOwxWt4ziO4wwhrmgdx3EcZwhxRes4juM4Q4grWsdxHMcZQlzROo7jOM4Q4orWcRzHcYYQV7SO4ziOM4S4onUcx3GcIeT/A9rlGmWQoskFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_SKIP\n",
    "\n",
    "# Mid-points:\n",
    "mid_x = int(0.5*(v[0].data.shape[1]-1))+1\n",
    "mid_y = int(0.5*(v[0].data.shape[2]-1))+1\n",
    "\n",
    "# Plot some selected results:\n",
    "\n",
    "plot_image(v[0].data[1, :, mid_y, :], cmap=\"seismic\")\n",
    "plot_image(v[0].data[1, mid_x, :, :], cmap=\"seismic\")\n",
    "\n",
    "plot_image(tau[2, 2].data[1, :, mid_y, :], cmap=\"seismic\")\n",
    "plot_image(tau[2, 2].data[1, mid_x, :, :], cmap=\"seismic\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "\n",
    "assert np.isclose(norm(v[0]), 0.102959, atol=1e-4, rtol=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# References\n",
    "\n",
    "[1] Johan O. A. Roberston, *et.al.* (1994). \"Viscoelatic finite-difference modeling\" GEOPHYSICS, 59(9), 1444-1456.\n",
    "\n",
    "\n",
    "[2] https://janth.home.xs4all.nl/Software/fdelmodcManual.pdf"
   ]
  }
 ],
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